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Finding the Fourth Proportional to 242,426.88, 362,969.64 and 123,842.88

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Solution

The fourth proportional to 242,426.88, 362,969.64 and 123,842.88 is: 185,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,426.88 : 362,969.64 = 123,842.88 : x
  2. Step 2: Convert to fraction form
    242,426.88/362,969.64 = 123,842.88/x
  3. Step 3: Cross multiply
    242,426.88x = 362,969.64 × 123,842.88
  4. Step 4: Simplify right side
    242,426.88x = 44,951,205,570.16
  5. Step 5: Solve for x
    x = 44,951,205,570.16/242,426.88
  6. Step 6: Final answer
    x = 185,421.71

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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.