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Finding the Fourth Proportional to 192,778.64, 266,042.83 and 106,737.61

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Solution

The fourth proportional to 192,778.64, 266,042.83 and 106,737.61 is: 147,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,778.64 : 266,042.83 = 106,737.61 : x
  2. Step 2: Convert to fraction form
    192,778.64/266,042.83 = 106,737.61/x
  3. Step 3: Cross multiply
    192,778.64x = 266,042.83 × 106,737.61
  4. Step 4: Simplify right side
    192,778.64x = 28,396,775,298.15
  5. Step 5: Solve for x
    x = 28,396,775,298.15/192,778.64
  6. Step 6: Final answer
    x = 147,302.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.