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Finding the Fourth Proportional to 159,764.26, 239,605.29 and 47,417.86

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Solution

The fourth proportional to 159,764.26, 239,605.29 and 47,417.86 is: 71,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,764.26 : 239,605.29 = 47,417.86 : x
  2. Step 2: Convert to fraction form
    159,764.26/239,605.29 = 47,417.86/x
  3. Step 3: Cross multiply
    159,764.26x = 239,605.29 × 47,417.86
  4. Step 4: Simplify right side
    159,764.26x = 11,361,570,096.48
  5. Step 5: Solve for x
    x = 11,361,570,096.48/159,764.26
  6. Step 6: Final answer
    x = 71,114.59

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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.