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Finding the Fourth Proportional to 243,217.80, 364,834.89 and 65,726.34

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Solution

The fourth proportional to 243,217.80, 364,834.89 and 65,726.34 is: 98,591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,217.80 : 364,834.89 = 65,726.34 : x
  2. Step 2: Convert to fraction form
    243,217.80/364,834.89 = 65,726.34/x
  3. Step 3: Cross multiply
    243,217.80x = 364,834.89 × 65,726.34
  4. Step 4: Simplify right side
    243,217.80x = 23,979,262,024.00
  5. Step 5: Solve for x
    x = 23,979,262,024.00/243,217.80
  6. Step 6: Final answer
    x = 98,591.72

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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.