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Finding the Fourth Proportional to 185,793.09, 256,385.88 and 105,221.20

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Solution

The fourth proportional to 185,793.09, 256,385.88 and 105,221.20 is: 145,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,793.09 : 256,385.88 = 105,221.20 : x
  2. Step 2: Convert to fraction form
    185,793.09/256,385.88 = 105,221.20/x
  3. Step 3: Cross multiply
    185,793.09x = 256,385.88 × 105,221.20
  4. Step 4: Simplify right side
    185,793.09x = 26,977,228,789.59
  5. Step 5: Solve for x
    x = 26,977,228,789.59/185,793.09
  6. Step 6: Final answer
    x = 145,200.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.