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Finding the Fourth Proportional to 275,701.86, 413,608.14 and 125,901.92

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Solution

The fourth proportional to 275,701.86, 413,608.14 and 125,901.92 is: 188,878.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,701.86 : 413,608.14 = 125,901.92 : x
  2. Step 2: Convert to fraction form
    275,701.86/413,608.14 = 125,901.92/x
  3. Step 3: Cross multiply
    275,701.86x = 413,608.14 × 125,901.92
  4. Step 4: Simplify right side
    275,701.86x = 52,074,059,987.65
  5. Step 5: Solve for x
    x = 52,074,059,987.65/275,701.86
  6. Step 6: Final answer
    x = 188,878.16

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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.