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Finding the Fourth Proportional to 242,405.91, 363,581.06 and 92,642.87

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Solution

The fourth proportional to 242,405.91, 363,581.06 and 92,642.87 is: 138,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,405.91 : 363,581.06 = 92,642.87 : x
  2. Step 2: Convert to fraction form
    242,405.91/363,581.06 = 92,642.87/x
  3. Step 3: Cross multiply
    242,405.91x = 363,581.06 × 92,642.87
  4. Step 4: Simplify right side
    242,405.91x = 33,683,193,321.78
  5. Step 5: Solve for x
    x = 33,683,193,321.78/242,405.91
  6. Step 6: Final answer
    x = 138,953.68

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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.