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Finding the Fourth Proportional to 227,456.64, 341,070.48 and 132,719.04

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Solution

The fourth proportional to 227,456.64, 341,070.48 and 132,719.04 is: 199,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,456.64 : 341,070.48 = 132,719.04 : x
  2. Step 2: Convert to fraction form
    227,456.64/341,070.48 = 132,719.04/x
  3. Step 3: Cross multiply
    227,456.64x = 341,070.48 × 132,719.04
  4. Step 4: Simplify right side
    227,456.64x = 45,266,546,677.94
  5. Step 5: Solve for x
    x = 45,266,546,677.94/227,456.64
  6. Step 6: Final answer
    x = 199,011.76

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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.