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Finding the Fourth Proportional to 107,000.70, 160,385.85 and 40,415.10

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Solution

The fourth proportional to 107,000.70, 160,385.85 and 40,415.10 is: 60,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,000.70 : 160,385.85 = 40,415.10 : x
  2. Step 2: Convert to fraction form
    107,000.70/160,385.85 = 40,415.10/x
  3. Step 3: Cross multiply
    107,000.70x = 160,385.85 × 40,415.10
  4. Step 4: Simplify right side
    107,000.70x = 6,482,010,166.34
  5. Step 5: Solve for x
    x = 6,482,010,166.34/107,000.70
  6. Step 6: Final answer
    x = 60,579.14

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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.