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Finding the Fourth Proportional to 159,366.47, 238,993.97 and 47,016.86

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Solution

The fourth proportional to 159,366.47, 238,993.97 and 47,016.86 is: 70,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,366.47 : 238,993.97 = 47,016.86 : x
  2. Step 2: Convert to fraction form
    159,366.47/238,993.97 = 47,016.86/x
  3. Step 3: Cross multiply
    159,366.47x = 238,993.97 × 47,016.86
  4. Step 4: Simplify right side
    159,366.47x = 11,236,744,598.28
  5. Step 5: Solve for x
    x = 11,236,744,598.28/159,366.47
  6. Step 6: Final answer
    x = 70,508.84

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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.