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Finding the Fourth Proportional to 123,877.92, 170,947.62 and 70,167.90

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Solution

The fourth proportional to 123,877.92, 170,947.62 and 70,167.90 is: 96,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,877.92 : 170,947.62 = 70,167.90 : x
  2. Step 2: Convert to fraction form
    123,877.92/170,947.62 = 70,167.90/x
  3. Step 3: Cross multiply
    123,877.92x = 170,947.62 × 70,167.90
  4. Step 4: Simplify right side
    123,877.92x = 11,995,035,505.40
  5. Step 5: Solve for x
    x = 11,995,035,505.40/123,877.92
  6. Step 6: Final answer
    x = 96,829.49

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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.