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Finding the Fourth Proportional to 278,433.48, 417,657.40 and 88,893.66

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Solution

The fourth proportional to 278,433.48, 417,657.40 and 88,893.66 is: 133,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,433.48 : 417,657.40 = 88,893.66 : x
  2. Step 2: Convert to fraction form
    278,433.48/417,657.40 = 88,893.66/x
  3. Step 3: Cross multiply
    278,433.48x = 417,657.40 × 88,893.66
  4. Step 4: Simplify right side
    278,433.48x = 37,127,094,689.85
  5. Step 5: Solve for x
    x = 37,127,094,689.85/278,433.48
  6. Step 6: Final answer
    x = 133,342.78

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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.