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Finding the Fourth Proportional to 165,233.52, 247,710.15 and 65,464.20

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Solution

The fourth proportional to 165,233.52, 247,710.15 and 65,464.20 is: 98,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,233.52 : 247,710.15 = 65,464.20 : x
  2. Step 2: Convert to fraction form
    165,233.52/247,710.15 = 65,464.20/x
  3. Step 3: Cross multiply
    165,233.52x = 247,710.15 × 65,464.20
  4. Step 4: Simplify right side
    165,233.52x = 16,216,146,801.63
  5. Step 5: Solve for x
    x = 16,216,146,801.63/165,233.52
  6. Step 6: Final answer
    x = 98,140.78

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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.