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Finding the Fourth Proportional to 287,894.57, 431,826.28 and 88,215.53

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Solution

The fourth proportional to 287,894.57, 431,826.28 and 88,215.53 is: 132,318.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,894.57 : 431,826.28 = 88,215.53 : x
  2. Step 2: Convert to fraction form
    287,894.57/431,826.28 = 88,215.53/x
  3. Step 3: Cross multiply
    287,894.57x = 431,826.28 × 88,215.53
  4. Step 4: Simplify right side
    287,894.57x = 38,093,781,778.46
  5. Step 5: Solve for x
    x = 38,093,781,778.46/287,894.57
  6. Step 6: Final answer
    x = 132,318.52

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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.