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Finding the Fourth Proportional to 242,560.26, 334,535.13 and 203,647.86

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Solution

The fourth proportional to 242,560.26, 334,535.13 and 203,647.86 is: 280,867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,560.26 : 334,535.13 = 203,647.86 : x
  2. Step 2: Convert to fraction form
    242,560.26/334,535.13 = 203,647.86/x
  3. Step 3: Cross multiply
    242,560.26x = 334,535.13 × 203,647.86
  4. Step 4: Simplify right side
    242,560.26x = 68,127,363,319.32
  5. Step 5: Solve for x
    x = 68,127,363,319.32/242,560.26
  6. Step 6: Final answer
    x = 280,867.79

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Why These Related Problems?

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