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Finding the Fourth Proportional to 242,427.88, 362,971.14 and 123,843.88

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Solution

The fourth proportional to 242,427.88, 362,971.14 and 123,843.88 is: 185,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,427.88 : 362,971.14 = 123,843.88 : x
  2. Step 2: Convert to fraction form
    242,427.88/362,971.14 = 123,843.88/x
  3. Step 3: Cross multiply
    242,427.88x = 362,971.14 × 123,843.88
  4. Step 4: Simplify right side
    242,427.88x = 44,951,754,305.62
  5. Step 5: Solve for x
    x = 44,951,754,305.62/242,427.88
  6. Step 6: Final answer
    x = 185,423.20

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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.