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Finding the Fourth Proportional to 118,820.98, 178,222.50 and 34,581.80

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Solution

The fourth proportional to 118,820.98, 178,222.50 and 34,581.80 is: 51,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,820.98 : 178,222.50 = 34,581.80 : x
  2. Step 2: Convert to fraction form
    118,820.98/178,222.50 = 34,581.80/x
  3. Step 3: Cross multiply
    118,820.98x = 178,222.50 × 34,581.80
  4. Step 4: Simplify right side
    118,820.98x = 6,163,254,850.50
  5. Step 5: Solve for x
    x = 6,163,254,850.50/118,820.98
  6. Step 6: Final answer
    x = 51,870.09

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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.