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Finding the Fourth Proportional to 242,006.26, 363,083.28 and 123,760.66

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Solution

The fourth proportional to 242,006.26, 363,083.28 and 123,760.66 is: 185,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,006.26 : 363,083.28 = 123,760.66 : x
  2. Step 2: Convert to fraction form
    242,006.26/363,083.28 = 123,760.66/x
  3. Step 3: Cross multiply
    242,006.26x = 363,083.28 × 123,760.66
  4. Step 4: Simplify right side
    242,006.26x = 44,935,426,367.76
  5. Step 5: Solve for x
    x = 44,935,426,367.76/242,006.26
  6. Step 6: Final answer
    x = 185,678.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.