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Finding the Fourth Proportional to 148,413.40, 222,641.70 and 48,549.40

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Solution

The fourth proportional to 148,413.40, 222,641.70 and 48,549.40 is: 72,831.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,413.40 : 222,641.70 = 48,549.40 : x
  2. Step 2: Convert to fraction form
    148,413.40/222,641.70 = 48,549.40/x
  3. Step 3: Cross multiply
    148,413.40x = 222,641.70 × 48,549.40
  4. Step 4: Simplify right side
    148,413.40x = 10,809,120,949.98
  5. Step 5: Solve for x
    x = 10,809,120,949.98/148,413.40
  6. Step 6: Final answer
    x = 72,831.17

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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.