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Finding the Fourth Proportional to 137,534.40, 206,593.20 and 132,577.20

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Solution

The fourth proportional to 137,534.40, 206,593.20 and 132,577.20 is: 199,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,534.40 : 206,593.20 = 132,577.20 : x
  2. Step 2: Convert to fraction form
    137,534.40/206,593.20 = 132,577.20/x
  3. Step 3: Cross multiply
    137,534.40x = 206,593.20 × 132,577.20
  4. Step 4: Simplify right side
    137,534.40x = 27,389,547,995.04
  5. Step 5: Solve for x
    x = 27,389,547,995.04/137,534.40
  6. Step 6: Final answer
    x = 199,146.89

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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.