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Finding the Fourth Proportional to 160,512,803.80, 240,769,205.70 and 119,638,000.60

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Solution

The fourth proportional to 160,512,803.80, 240,769,205.70 and 119,638,000.60 is: 179,457,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,512,803.80 : 240,769,205.70 = 119,638,000.60 : x
  2. Step 2: Convert to fraction form
    160,512,803.80/240,769,205.70 = 119,638,000.60/x
  3. Step 3: Cross multiply
    160,512,803.80x = 240,769,205.70 × 119,638,000.60
  4. Step 4: Simplify right side
    160,512,803.80x = 28,805,146,375,998,120
  5. Step 5: Solve for x
    x = 28,805,146,375,998,120/160,512,803.80
  6. Step 6: Final answer
    x = 179,457,000.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.