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Finding the Fourth Proportional to 287,765.40, 431,610.30 and 88,105.80

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Solution

The fourth proportional to 287,765.40, 431,610.30 and 88,105.80 is: 132,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,765.40 : 431,610.30 = 88,105.80 : x
  2. Step 2: Convert to fraction form
    287,765.40/431,610.30 = 88,105.80/x
  3. Step 3: Cross multiply
    287,765.40x = 431,610.30 × 88,105.80
  4. Step 4: Simplify right side
    287,765.40x = 38,027,370,769.74
  5. Step 5: Solve for x
    x = 38,027,370,769.74/287,765.40
  6. Step 6: Final answer
    x = 132,147.13

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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.