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Finding the Fourth Proportional to 106,750.73, 160,218.14 and 59,413.12

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Solution

The fourth proportional to 106,750.73, 160,218.14 and 59,413.12 is: 89,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,750.73 : 160,218.14 = 59,413.12 : x
  2. Step 2: Convert to fraction form
    106,750.73/160,218.14 = 59,413.12/x
  3. Step 3: Cross multiply
    106,750.73x = 160,218.14 × 59,413.12
  4. Step 4: Simplify right side
    106,750.73x = 9,519,058,880.39
  5. Step 5: Solve for x
    x = 9,519,058,880.39/106,750.73
  6. Step 6: Final answer
    x = 89,170.90

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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.