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Finding the Fourth Proportional to 165,318.52, 247,837.65 and 65,549.20

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Solution

The fourth proportional to 165,318.52, 247,837.65 and 65,549.20 is: 98,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,318.52 : 247,837.65 = 65,549.20 : x
  2. Step 2: Convert to fraction form
    165,318.52/247,837.65 = 65,549.20/x
  3. Step 3: Cross multiply
    165,318.52x = 247,837.65 × 65,549.20
  4. Step 4: Simplify right side
    165,318.52x = 16,245,559,687.38
  5. Step 5: Solve for x
    x = 16,245,559,687.38/165,318.52
  6. Step 6: Final answer
    x = 98,268.24

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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.