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Finding the Fourth Proportional to 119,846.24, 165,397.92 and 69,542

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Solution

The fourth proportional to 119,846.24, 165,397.92 and 69,542 is: 95,973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,846.24 : 165,397.92 = 69,542 : x
  2. Step 2: Convert to fraction form
    119,846.24/165,397.92 = 69,542/x
  3. Step 3: Cross multiply
    119,846.24x = 165,397.92 × 69,542
  4. Step 4: Simplify right side
    119,846.24x = 11,502,102,152.64
  5. Step 5: Solve for x
    x = 11,502,102,152.64/119,846.24
  6. Step 6: Final answer
    x = 95,973.83

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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.