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Finding the Fourth Proportional to 117,082.48, 161,535.72 and 74,654.68

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Solution

The fourth proportional to 117,082.48, 161,535.72 and 74,654.68 is: 102,999.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,082.48 : 161,535.72 = 74,654.68 : x
  2. Step 2: Convert to fraction form
    117,082.48/161,535.72 = 74,654.68/x
  3. Step 3: Cross multiply
    117,082.48x = 161,535.72 × 74,654.68
  4. Step 4: Simplify right side
    117,082.48x = 12,059,397,485.17
  5. Step 5: Solve for x
    x = 12,059,397,485.17/117,082.48
  6. Step 6: Final answer
    x = 102,999.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.