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Finding the Fourth Proportional to 159,760.26, 239,599.29 and 47,413.86

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Solution

The fourth proportional to 159,760.26, 239,599.29 and 47,413.86 is: 71,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,760.26 : 239,599.29 = 47,413.86 : x
  2. Step 2: Convert to fraction form
    159,760.26/239,599.29 = 47,413.86/x
  3. Step 3: Cross multiply
    159,760.26x = 239,599.29 × 47,413.86
  4. Step 4: Simplify right side
    159,760.26x = 11,360,327,192.16
  5. Step 5: Solve for x
    x = 11,360,327,192.16/159,760.26
  6. Step 6: Final answer
    x = 71,108.59

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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.