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Finding the Fourth Proportional to 278,098.61, 416,671.77 and 151,827.60

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Solution

The fourth proportional to 278,098.61, 416,671.77 and 151,827.60 is: 227,481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,098.61 : 416,671.77 = 151,827.60 : x
  2. Step 2: Convert to fraction form
    278,098.61/416,671.77 = 151,827.60/x
  3. Step 3: Cross multiply
    278,098.61x = 416,671.77 × 151,827.60
  4. Step 4: Simplify right side
    278,098.61x = 63,262,274,826.85
  5. Step 5: Solve for x
    x = 63,262,274,826.85/278,098.61
  6. Step 6: Final answer
    x = 227,481.45

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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.