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Finding the Fourth Proportional to 129,329.30, 193,937.40 and 65,248.02

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Solution

The fourth proportional to 129,329.30, 193,937.40 and 65,248.02 is: 97,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,329.30 : 193,937.40 = 65,248.02 : x
  2. Step 2: Convert to fraction form
    129,329.30/193,937.40 = 65,248.02/x
  3. Step 3: Cross multiply
    129,329.30x = 193,937.40 × 65,248.02
  4. Step 4: Simplify right side
    129,329.30x = 12,654,031,353.95
  5. Step 5: Solve for x
    x = 12,654,031,353.95/129,329.30
  6. Step 6: Final answer
    x = 97,843.50

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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.