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Finding the Fourth Proportional to 422,500.83, 633,752.33 and 106,957.77

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Solution

The fourth proportional to 422,500.83, 633,752.33 and 106,957.77 is: 160,436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,500.83 : 633,752.33 = 106,957.77 : x
  2. Step 2: Convert to fraction form
    422,500.83/633,752.33 = 106,957.77/x
  3. Step 3: Cross multiply
    422,500.83x = 633,752.33 × 106,957.77
  4. Step 4: Simplify right side
    422,500.83x = 67,784,735,414.32
  5. Step 5: Solve for x
    x = 67,784,735,414.32/422,500.83
  6. Step 6: Final answer
    x = 160,436.93

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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.