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Finding the Fourth Proportional to 272,892.77, 408,886.61 and 165,953.24

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Solution

The fourth proportional to 272,892.77, 408,886.61 and 165,953.24 is: 248,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,892.77 : 408,886.61 = 165,953.24 : x
  2. Step 2: Convert to fraction form
    272,892.77/408,886.61 = 165,953.24/x
  3. Step 3: Cross multiply
    272,892.77x = 408,886.61 × 165,953.24
  4. Step 4: Simplify right side
    272,892.77x = 67,856,057,722.12
  5. Step 5: Solve for x
    x = 67,856,057,722.12/272,892.77
  6. Step 6: Final answer
    x = 248,654.66

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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.