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Finding the Fourth Proportional to 272,232.92, 408,349.38 and 85,259

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Solution

The fourth proportional to 272,232.92, 408,349.38 and 85,259 is: 127,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,232.92 : 408,349.38 = 85,259 : x
  2. Step 2: Convert to fraction form
    272,232.92/408,349.38 = 85,259/x
  3. Step 3: Cross multiply
    272,232.92x = 408,349.38 × 85,259
  4. Step 4: Simplify right side
    272,232.92x = 34,815,459,789.42
  5. Step 5: Solve for x
    x = 34,815,459,789.42/272,232.92
  6. Step 6: Final answer
    x = 127,888.50

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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.