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Finding the Fourth Proportional to 159,149.70, 238,723.75 and 39,206.42

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Solution

The fourth proportional to 159,149.70, 238,723.75 and 39,206.42 is: 58,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,149.70 : 238,723.75 = 39,206.42 : x
  2. Step 2: Convert to fraction form
    159,149.70/238,723.75 = 39,206.42/x
  3. Step 3: Cross multiply
    159,149.70x = 238,723.75 × 39,206.42
  4. Step 4: Simplify right side
    159,149.70x = 9,359,502,993.81
  5. Step 5: Solve for x
    x = 9,359,502,993.81/159,149.70
  6. Step 6: Final answer
    x = 58,809.43

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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.