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Finding the Fourth Proportional to 137,792.40, 206,688.60 and 98,134.80

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Solution

The fourth proportional to 137,792.40, 206,688.60 and 98,134.80 is: 147,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,792.40 : 206,688.60 = 98,134.80 : x
  2. Step 2: Convert to fraction form
    137,792.40/206,688.60 = 98,134.80/x
  3. Step 3: Cross multiply
    137,792.40x = 206,688.60 × 98,134.80
  4. Step 4: Simplify right side
    137,792.40x = 20,283,344,423.28
  5. Step 5: Solve for x
    x = 20,283,344,423.28/137,792.40
  6. Step 6: Final answer
    x = 147,202.20

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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.