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Finding the Fourth Proportional to 85,876.80, 128,815.20 and 76,363.35

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Solution

The fourth proportional to 85,876.80, 128,815.20 and 76,363.35 is: 114,545.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,876.80 : 128,815.20 = 76,363.35 : x
  2. Step 2: Convert to fraction form
    85,876.80/128,815.20 = 76,363.35/x
  3. Step 3: Cross multiply
    85,876.80x = 128,815.20 × 76,363.35
  4. Step 4: Simplify right side
    85,876.80x = 9,836,760,202.92
  5. Step 5: Solve for x
    x = 9,836,760,202.92/85,876.80
  6. Step 6: Final answer
    x = 114,545.03

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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.