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Finding the Fourth Proportional to 159,818.32, 239,766.51 and 53,202.07

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Solution

The fourth proportional to 159,818.32, 239,766.51 and 53,202.07 is: 79,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,818.32 : 239,766.51 = 53,202.07 : x
  2. Step 2: Convert to fraction form
    159,818.32/239,766.51 = 53,202.07/x
  3. Step 3: Cross multiply
    159,818.32x = 239,766.51 × 53,202.07
  4. Step 4: Simplify right side
    159,818.32x = 12,756,074,648.68
  5. Step 5: Solve for x
    x = 12,756,074,648.68/159,818.32
  6. Step 6: Final answer
    x = 79,816.10

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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.