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Finding the Fourth Proportional to 159,805.81, 239,667.25 and 47,459.62

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Solution

The fourth proportional to 159,805.81, 239,667.25 and 47,459.62 is: 71,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,805.81 : 239,667.25 = 47,459.62 : x
  2. Step 2: Convert to fraction form
    159,805.81/239,667.25 = 47,459.62/x
  3. Step 3: Cross multiply
    159,805.81x = 239,667.25 × 47,459.62
  4. Step 4: Simplify right side
    159,805.81x = 11,374,515,175.81
  5. Step 5: Solve for x
    x = 11,374,515,175.81/159,805.81
  6. Step 6: Final answer
    x = 71,177.11

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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.