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Finding the Fourth Proportional to 159,729.66, 239,569.10 and 53,104.76

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Solution

The fourth proportional to 159,729.66, 239,569.10 and 53,104.76 is: 79,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,729.66 : 239,569.10 = 53,104.76 : x
  2. Step 2: Convert to fraction form
    159,729.66/239,569.10 = 53,104.76/x
  3. Step 3: Cross multiply
    159,729.66x = 239,569.10 × 53,104.76
  4. Step 4: Simplify right side
    159,729.66x = 12,722,258,095.55
  5. Step 5: Solve for x
    x = 12,722,258,095.55/159,729.66
  6. Step 6: Final answer
    x = 79,648.69

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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.