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Finding the Fourth Proportional to 159,735.71, 239,582.84 and 47,413.69

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Solution

The fourth proportional to 159,735.71, 239,582.84 and 47,413.69 is: 71,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,735.71 : 239,582.84 = 47,413.69 : x
  2. Step 2: Convert to fraction form
    159,735.71/239,582.84 = 47,413.69/x
  3. Step 3: Cross multiply
    159,735.71x = 239,582.84 × 47,413.69
  4. Step 4: Simplify right side
    159,735.71x = 11,359,505,669.05
  5. Step 5: Solve for x
    x = 11,359,505,669.05/159,735.71
  6. Step 6: Final answer
    x = 71,114.38

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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.