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Finding the Fourth Proportional to 159,419, 239,167.56 and 47,098.52

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Solution

The fourth proportional to 159,419, 239,167.56 and 47,098.52 is: 70,659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,419 : 239,167.56 = 47,098.52 : x
  2. Step 2: Convert to fraction form
    159,419/239,167.56 = 47,098.52/x
  3. Step 3: Cross multiply
    159,419x = 239,167.56 × 47,098.52
  4. Step 4: Simplify right side
    159,419x = 11,264,438,108.01
  5. Step 5: Solve for x
    x = 11,264,438,108.01/159,419
  6. Step 6: Final answer
    x = 70,659.32

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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.