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Finding the Fourth Proportional to 278,231.60, 417,323.10 and 91,243.10

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Solution

The fourth proportional to 278,231.60, 417,323.10 and 91,243.10 is: 136,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,231.60 : 417,323.10 = 91,243.10 : x
  2. Step 2: Convert to fraction form
    278,231.60/417,323.10 = 91,243.10/x
  3. Step 3: Cross multiply
    278,231.60x = 417,323.10 × 91,243.10
  4. Step 4: Simplify right side
    278,231.60x = 38,077,853,345.61
  5. Step 5: Solve for x
    x = 38,077,853,345.61/278,231.60
  6. Step 6: Final answer
    x = 136,856.68

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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.