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Finding the Fourth Proportional to 119,892.46, 165,455.61 and 65,447.86

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Solution

The fourth proportional to 119,892.46, 165,455.61 and 65,447.86 is: 90,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,892.46 : 165,455.61 = 65,447.86 : x
  2. Step 2: Convert to fraction form
    119,892.46/165,455.61 = 65,447.86/x
  3. Step 3: Cross multiply
    119,892.46x = 165,455.61 × 65,447.86
  4. Step 4: Simplify right side
    119,892.46x = 10,828,715,599.49
  5. Step 5: Solve for x
    x = 10,828,715,599.49/119,892.46
  6. Step 6: Final answer
    x = 90,320.24

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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.