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Finding the Fourth Proportional to 272,508.26, 408,776.96 and 85,534.34

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Solution

The fourth proportional to 272,508.26, 408,776.96 and 85,534.34 is: 128,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,508.26 : 408,776.96 = 85,534.34 : x
  2. Step 2: Convert to fraction form
    272,508.26/408,776.96 = 85,534.34/x
  3. Step 3: Cross multiply
    272,508.26x = 408,776.96 × 85,534.34
  4. Step 4: Simplify right side
    272,508.26x = 34,964,467,480.81
  5. Step 5: Solve for x
    x = 34,964,467,480.81/272,508.26
  6. Step 6: Final answer
    x = 128,306.08

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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.