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Finding the Fourth Proportional to 159,754.72, 239,667.36 and 47,444.08

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Solution

The fourth proportional to 159,754.72, 239,667.36 and 47,444.08 is: 71,176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,754.72 : 239,667.36 = 47,444.08 : x
  2. Step 2: Convert to fraction form
    159,754.72/239,667.36 = 47,444.08/x
  3. Step 3: Cross multiply
    159,754.72x = 239,667.36 × 47,444.08
  4. Step 4: Simplify right side
    159,754.72x = 11,370,797,401.23
  5. Step 5: Solve for x
    x = 11,370,797,401.23/159,754.72
  6. Step 6: Final answer
    x = 71,176.60

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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.