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Finding the Fourth Proportional to 272,142.68, 408,221.70 and 75,150.68

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Solution

The fourth proportional to 272,142.68, 408,221.70 and 75,150.68 is: 112,728.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,142.68 : 408,221.70 = 75,150.68 : x
  2. Step 2: Convert to fraction form
    272,142.68/408,221.70 = 75,150.68/x
  3. Step 3: Cross multiply
    272,142.68x = 408,221.70 × 75,150.68
  4. Step 4: Simplify right side
    272,142.68x = 30,678,138,345.76
  5. Step 5: Solve for x
    x = 30,678,138,345.76/272,142.68
  6. Step 6: Final answer
    x = 112,728.14

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1.5x scale

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.