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Finding the Fourth Proportional to 381,088.81, 571,633.42 and 96,800.68

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Solution

The fourth proportional to 381,088.81, 571,633.42 and 96,800.68 is: 145,201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,088.81 : 571,633.42 = 96,800.68 : x
  2. Step 2: Convert to fraction form
    381,088.81/571,633.42 = 96,800.68/x
  3. Step 3: Cross multiply
    381,088.81x = 571,633.42 × 96,800.68
  4. Step 4: Simplify right side
    381,088.81x = 55,334,503,766.73
  5. Step 5: Solve for x
    x = 55,334,503,766.73/381,088.81
  6. Step 6: Final answer
    x = 145,201.07

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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.