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Finding the Fourth Proportional to 137,847.71, 206,587.54 and 73,674.35

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Solution

The fourth proportional to 137,847.71, 206,587.54 and 73,674.35 is: 110,413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,847.71 : 206,587.54 = 73,674.35 : x
  2. Step 2: Convert to fraction form
    137,847.71/206,587.54 = 73,674.35/x
  3. Step 3: Cross multiply
    137,847.71x = 206,587.54 × 73,674.35
  4. Step 4: Simplify right side
    137,847.71x = 15,220,202,727.60
  5. Step 5: Solve for x
    x = 15,220,202,727.60/137,847.71
  6. Step 6: Final answer
    x = 110,413.17

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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.