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Finding the Fourth Proportional to 242,459.38, 363,733.19 and 100,227.41

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Solution

The fourth proportional to 242,459.38, 363,733.19 and 100,227.41 is: 150,359.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,459.38 : 363,733.19 = 100,227.41 : x
  2. Step 2: Convert to fraction form
    242,459.38/363,733.19 = 100,227.41/x
  3. Step 3: Cross multiply
    242,459.38x = 363,733.19 × 100,227.41
  4. Step 4: Simplify right side
    242,459.38x = 36,456,036,381.32
  5. Step 5: Solve for x
    x = 36,456,036,381.32/242,459.38
  6. Step 6: Final answer
    x = 150,359.35

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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.