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Finding the Fourth Proportional to 242,876.52, 361,872.86 and 229,295.25

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Solution

The fourth proportional to 242,876.52, 361,872.86 and 229,295.25 is: 341,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,876.52 : 361,872.86 = 229,295.25 : x
  2. Step 2: Convert to fraction form
    242,876.52/361,872.86 = 229,295.25/x
  3. Step 3: Cross multiply
    242,876.52x = 361,872.86 × 229,295.25
  4. Step 4: Simplify right side
    242,876.52x = 82,975,726,755.44
  5. Step 5: Solve for x
    x = 82,975,726,755.44/242,876.52
  6. Step 6: Final answer
    x = 341,637.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.