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Finding the Fourth Proportional to 159,771.72, 239,624.76 and 75,496.08

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Solution

The fourth proportional to 159,771.72, 239,624.76 and 75,496.08 is: 113,228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,771.72 : 239,624.76 = 75,496.08 : x
  2. Step 2: Convert to fraction form
    159,771.72/239,624.76 = 75,496.08/x
  3. Step 3: Cross multiply
    159,771.72x = 239,624.76 × 75,496.08
  4. Step 4: Simplify right side
    159,771.72x = 18,090,730,050.94
  5. Step 5: Solve for x
    x = 18,090,730,050.94/159,771.72
  6. Step 6: Final answer
    x = 113,228.61

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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.