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Finding the Fourth Proportional to 268,565.58, 402,847.64 and 100,082.07

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Solution

The fourth proportional to 268,565.58, 402,847.64 and 100,082.07 is: 150,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,565.58 : 402,847.64 = 100,082.07 : x
  2. Step 2: Convert to fraction form
    268,565.58/402,847.64 = 100,082.07/x
  3. Step 3: Cross multiply
    268,565.58x = 402,847.64 × 100,082.07
  4. Step 4: Simplify right side
    268,565.58x = 40,317,825,705.81
  5. Step 5: Solve for x
    x = 40,317,825,705.81/268,565.58
  6. Step 6: Final answer
    x = 150,122.83

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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.