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Finding the Fourth Proportional to 151,842.80, 227,740.87 and 50,642.64

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Solution

The fourth proportional to 151,842.80, 227,740.87 and 50,642.64 is: 75,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,842.80 : 227,740.87 = 50,642.64 : x
  2. Step 2: Convert to fraction form
    151,842.80/227,740.87 = 50,642.64/x
  3. Step 3: Cross multiply
    151,842.80x = 227,740.87 × 50,642.64
  4. Step 4: Simplify right side
    151,842.80x = 11,533,398,956.00
  5. Step 5: Solve for x
    x = 11,533,398,956.00/151,842.80
  6. Step 6: Final answer
    x = 75,956.18

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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.