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Finding the Fourth Proportional to 221,413.80, 332,153.10 and 116,240.70

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Solution

The fourth proportional to 221,413.80, 332,153.10 and 116,240.70 is: 174,378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,413.80 : 332,153.10 = 116,240.70 : x
  2. Step 2: Convert to fraction form
    221,413.80/332,153.10 = 116,240.70/x
  3. Step 3: Cross multiply
    221,413.80x = 332,153.10 × 116,240.70
  4. Step 4: Simplify right side
    221,413.80x = 38,609,708,851.17
  5. Step 5: Solve for x
    x = 38,609,708,851.17/221,413.80
  6. Step 6: Final answer
    x = 174,378.06

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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.