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Finding the Fourth Proportional to 142,165.52, 213,248.97 and 57,926.52

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Solution

The fourth proportional to 142,165.52, 213,248.97 and 57,926.52 is: 86,890.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,165.52 : 213,248.97 = 57,926.52 : x
  2. Step 2: Convert to fraction form
    142,165.52/213,248.97 = 57,926.52/x
  3. Step 3: Cross multiply
    142,165.52x = 213,248.97 × 57,926.52
  4. Step 4: Simplify right side
    142,165.52x = 12,352,770,725.68
  5. Step 5: Solve for x
    x = 12,352,770,725.68/142,165.52
  6. Step 6: Final answer
    x = 86,890.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.