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Finding the Fourth Proportional to 119,961.92, 165,572.64 and 69,657.92

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Solution

The fourth proportional to 119,961.92, 165,572.64 and 69,657.92 is: 96,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,961.92 : 165,572.64 = 69,657.92 : x
  2. Step 2: Convert to fraction form
    119,961.92/165,572.64 = 69,657.92/x
  3. Step 3: Cross multiply
    119,961.92x = 165,572.64 × 69,657.92
  4. Step 4: Simplify right side
    119,961.92x = 11,533,445,711.31
  5. Step 5: Solve for x
    x = 11,533,445,711.31/119,961.92
  6. Step 6: Final answer
    x = 96,142.56

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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.