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Finding the Fourth Proportional to 240,413.20, 359,928.60 and 147,101.20

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Solution

The fourth proportional to 240,413.20, 359,928.60 and 147,101.20 is: 220,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,413.20 : 359,928.60 = 147,101.20 : x
  2. Step 2: Convert to fraction form
    240,413.20/359,928.60 = 147,101.20/x
  3. Step 3: Cross multiply
    240,413.20x = 359,928.60 × 147,101.20
  4. Step 4: Simplify right side
    240,413.20x = 52,945,928,974.32
  5. Step 5: Solve for x
    x = 52,945,928,974.32/240,413.20
  6. Step 6: Final answer
    x = 220,228.88

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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.