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Finding the Fourth Proportional to 278,580.60, 417,822.30 and 100,996.20

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Solution

The fourth proportional to 278,580.60, 417,822.30 and 100,996.20 is: 151,476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,580.60 : 417,822.30 = 100,996.20 : x
  2. Step 2: Convert to fraction form
    278,580.60/417,822.30 = 100,996.20/x
  3. Step 3: Cross multiply
    278,580.60x = 417,822.30 × 100,996.20
  4. Step 4: Simplify right side
    278,580.60x = 42,198,464,575.26
  5. Step 5: Solve for x
    x = 42,198,464,575.26/278,580.60
  6. Step 6: Final answer
    x = 151,476.68

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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.