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Finding the Fourth Proportional to 242,429.41, 363,701.35 and 76,217.41

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Solution

The fourth proportional to 242,429.41, 363,701.35 and 76,217.41 is: 114,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,429.41 : 363,701.35 = 76,217.41 : x
  2. Step 2: Convert to fraction form
    242,429.41/363,701.35 = 76,217.41/x
  3. Step 3: Cross multiply
    242,429.41x = 363,701.35 × 76,217.41
  4. Step 4: Simplify right side
    242,429.41x = 27,720,373,092.00
  5. Step 5: Solve for x
    x = 27,720,373,092.00/242,429.41
  6. Step 6: Final answer
    x = 114,344.10

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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.