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Finding the Fourth Proportional to 169,471.68, 233,904.96 and 97,863.36

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Solution

The fourth proportional to 169,471.68, 233,904.96 and 97,863.36 is: 135,071.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,471.68 : 233,904.96 = 97,863.36 : x
  2. Step 2: Convert to fraction form
    169,471.68/233,904.96 = 97,863.36/x
  3. Step 3: Cross multiply
    169,471.68x = 233,904.96 × 97,863.36
  4. Step 4: Simplify right side
    169,471.68x = 22,890,725,306.27
  5. Step 5: Solve for x
    x = 22,890,725,306.27/169,471.68
  6. Step 6: Final answer
    x = 135,071.09

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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.