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Finding the Fourth Proportional to 151,764.60, 227,906.10 and 99,406.20

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Solution

The fourth proportional to 151,764.60, 227,906.10 and 99,406.20 is: 149,279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,764.60 : 227,906.10 = 99,406.20 : x
  2. Step 2: Convert to fraction form
    151,764.60/227,906.10 = 99,406.20/x
  3. Step 3: Cross multiply
    151,764.60x = 227,906.10 × 99,406.20
  4. Step 4: Simplify right side
    151,764.60x = 22,655,279,357.82
  5. Step 5: Solve for x
    x = 22,655,279,357.82/151,764.60
  6. Step 6: Final answer
    x = 149,279.08

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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.