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Finding the Fourth Proportional to 216,113.57, 323,948.65 and 82,957.97

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Solution

The fourth proportional to 216,113.57, 323,948.65 and 82,957.97 is: 124,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,113.57 : 323,948.65 = 82,957.97 : x
  2. Step 2: Convert to fraction form
    216,113.57/323,948.65 = 82,957.97/x
  3. Step 3: Cross multiply
    216,113.57x = 323,948.65 × 82,957.97
  4. Step 4: Simplify right side
    216,113.57x = 26,874,120,561.10
  5. Step 5: Solve for x
    x = 26,874,120,561.10/216,113.57
  6. Step 6: Final answer
    x = 124,351.85

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1.5x scale

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.