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Finding the Fourth Proportional to 283,517.81, 425,454.76 and 115,038.85

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Solution

The fourth proportional to 283,517.81, 425,454.76 and 115,038.85 is: 172,630.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,517.81 : 425,454.76 = 115,038.85 : x
  2. Step 2: Convert to fraction form
    283,517.81/425,454.76 = 115,038.85/x
  3. Step 3: Cross multiply
    283,517.81x = 425,454.76 × 115,038.85
  4. Step 4: Simplify right side
    283,517.81x = 48,943,826,317.43
  5. Step 5: Solve for x
    x = 48,943,826,317.43/283,517.81
  6. Step 6: Final answer
    x = 172,630.52

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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.