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Finding the Fourth Proportional to 151,670.68, 227,201.46 and 75,539.80

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Solution

The fourth proportional to 151,670.68, 227,201.46 and 75,539.80 is: 113,158.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,670.68 : 227,201.46 = 75,539.80 : x
  2. Step 2: Convert to fraction form
    151,670.68/227,201.46 = 75,539.80/x
  3. Step 3: Cross multiply
    151,670.68x = 227,201.46 × 75,539.80
  4. Step 4: Simplify right side
    151,670.68x = 17,162,752,848.11
  5. Step 5: Solve for x
    x = 17,162,752,848.11/151,670.68
  6. Step 6: Final answer
    x = 113,158.01

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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.