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Finding the Fourth Proportional to 137,901.60, 207,046.80 and 85,413.60

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Solution

The fourth proportional to 137,901.60, 207,046.80 and 85,413.60 is: 128,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,901.60 : 207,046.80 = 85,413.60 : x
  2. Step 2: Convert to fraction form
    137,901.60/207,046.80 = 85,413.60/x
  3. Step 3: Cross multiply
    137,901.60x = 207,046.80 × 85,413.60
  4. Step 4: Simplify right side
    137,901.60x = 17,684,612,556.48
  5. Step 5: Solve for x
    x = 17,684,612,556.48/137,901.60
  6. Step 6: Final answer
    x = 128,240.81

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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.