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Finding the Fourth Proportional to 129,058.38, 178,123.38 and 96,516.05

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Solution

The fourth proportional to 129,058.38, 178,123.38 and 96,516.05 is: 133,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,058.38 : 178,123.38 = 96,516.05 : x
  2. Step 2: Convert to fraction form
    129,058.38/178,123.38 = 96,516.05/x
  3. Step 3: Cross multiply
    129,058.38x = 178,123.38 × 96,516.05
  4. Step 4: Simplify right side
    129,058.38x = 17,191,764,567.67
  5. Step 5: Solve for x
    x = 17,191,764,567.67/129,058.38
  6. Step 6: Final answer
    x = 133,209.21

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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.