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Finding the Fourth Proportional to 145,105.68, 217,686.36 and 50,332.20

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Solution

The fourth proportional to 145,105.68, 217,686.36 and 50,332.20 is: 75,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,105.68 : 217,686.36 = 50,332.20 : x
  2. Step 2: Convert to fraction form
    145,105.68/217,686.36 = 50,332.20/x
  3. Step 3: Cross multiply
    145,105.68x = 217,686.36 × 50,332.20
  4. Step 4: Simplify right side
    145,105.68x = 10,956,633,408.79
  5. Step 5: Solve for x
    x = 10,956,633,408.79/145,105.68
  6. Step 6: Final answer
    x = 75,507.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.