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Finding the Fourth Proportional to 159,658.22, 239,488.31 and 47,339.51

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Solution

The fourth proportional to 159,658.22, 239,488.31 and 47,339.51 is: 71,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,658.22 : 239,488.31 = 47,339.51 : x
  2. Step 2: Convert to fraction form
    159,658.22/239,488.31 = 47,339.51/x
  3. Step 3: Cross multiply
    159,658.22x = 239,488.31 × 47,339.51
  4. Step 4: Simplify right side
    159,658.22x = 11,337,258,167.04
  5. Step 5: Solve for x
    x = 11,337,258,167.04/159,658.22
  6. Step 6: Final answer
    x = 71,009.55

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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.