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Finding the Fourth Proportional to 102,220.50, 153,265.14 and 67,119.15

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Solution

The fourth proportional to 102,220.50, 153,265.14 and 67,119.15 is: 100,635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,220.50 : 153,265.14 = 67,119.15 : x
  2. Step 2: Convert to fraction form
    102,220.50/153,265.14 = 67,119.15/x
  3. Step 3: Cross multiply
    102,220.50x = 153,265.14 × 67,119.15
  4. Step 4: Simplify right side
    102,220.50x = 10,287,025,921.43
  5. Step 5: Solve for x
    x = 10,287,025,921.43/102,220.50
  6. Step 6: Final answer
    x = 100,635.64

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