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Finding the Fourth Proportional to 148,869.20, 222,958.20 and 145,413.20

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Solution

The fourth proportional to 148,869.20, 222,958.20 and 145,413.20 is: 217,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,869.20 : 222,958.20 = 145,413.20 : x
  2. Step 2: Convert to fraction form
    148,869.20/222,958.20 = 145,413.20/x
  3. Step 3: Cross multiply
    148,869.20x = 222,958.20 × 145,413.20
  4. Step 4: Simplify right side
    148,869.20x = 32,421,065,328.24
  5. Step 5: Solve for x
    x = 32,421,065,328.24/148,869.20
  6. Step 6: Final answer
    x = 217,782.22

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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.