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Finding the Fourth Proportional to 242,841.68, 335,294.12 and 202,659.28

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Solution

The fourth proportional to 242,841.68, 335,294.12 and 202,659.28 is: 279,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,841.68 : 335,294.12 = 202,659.28 : x
  2. Step 2: Convert to fraction form
    242,841.68/335,294.12 = 202,659.28/x
  3. Step 3: Cross multiply
    242,841.68x = 335,294.12 × 202,659.28
  4. Step 4: Simplify right side
    242,841.68x = 67,950,464,947.43
  5. Step 5: Solve for x
    x = 67,950,464,947.43/242,841.68
  6. Step 6: Final answer
    x = 279,813.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.