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Finding the Fourth Proportional to 137,772.50, 206,466.30 and 74,456.13

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Solution

The fourth proportional to 137,772.50, 206,466.30 and 74,456.13 is: 111,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,772.50 : 206,466.30 = 74,456.13 : x
  2. Step 2: Convert to fraction form
    137,772.50/206,466.30 = 74,456.13/x
  3. Step 3: Cross multiply
    137,772.50x = 206,466.30 × 74,456.13
  4. Step 4: Simplify right side
    137,772.50x = 15,372,681,673.42
  5. Step 5: Solve for x
    x = 15,372,681,673.42/137,772.50
  6. Step 6: Final answer
    x = 111,580.19

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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.