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Finding the Fourth Proportional to 119,189.24, 164,412.42 and 71,414.90

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Solution

The fourth proportional to 119,189.24, 164,412.42 and 71,414.90 is: 98,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,189.24 : 164,412.42 = 71,414.90 : x
  2. Step 2: Convert to fraction form
    119,189.24/164,412.42 = 71,414.90/x
  3. Step 3: Cross multiply
    119,189.24x = 164,412.42 × 71,414.90
  4. Step 4: Simplify right side
    119,189.24x = 11,741,495,711.00
  5. Step 5: Solve for x
    x = 11,741,495,711.00/119,189.24
  6. Step 6: Final answer
    x = 98,511.38

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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.