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Finding the Fourth Proportional to 159,524.25, 239,340.71 and 100,290.57

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Solution

The fourth proportional to 159,524.25, 239,340.71 and 100,290.57 is: 150,470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,524.25 : 239,340.71 = 100,290.57 : x
  2. Step 2: Convert to fraction form
    159,524.25/239,340.71 = 100,290.57/x
  3. Step 3: Cross multiply
    159,524.25x = 239,340.71 × 100,290.57
  4. Step 4: Simplify right side
    159,524.25x = 24,003,616,230.10
  5. Step 5: Solve for x
    x = 24,003,616,230.10/159,524.25
  6. Step 6: Final answer
    x = 150,470.01

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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.