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Finding the Fourth Proportional to 177,843.32, 266,468.82 and 125,142.08

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Solution

The fourth proportional to 177,843.32, 266,468.82 and 125,142.08 is: 187,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,843.32 : 266,468.82 = 125,142.08 : x
  2. Step 2: Convert to fraction form
    177,843.32/266,468.82 = 125,142.08/x
  3. Step 3: Cross multiply
    177,843.32x = 266,468.82 × 125,142.08
  4. Step 4: Simplify right side
    177,843.32x = 33,346,462,389.95
  5. Step 5: Solve for x
    x = 33,346,462,389.95/177,843.32
  6. Step 6: Final answer
    x = 187,504.72

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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.