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Finding the Fourth Proportional to 214,891.80, 322,337.70 and 120,413.40

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Solution

The fourth proportional to 214,891.80, 322,337.70 and 120,413.40 is: 180,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,891.80 : 322,337.70 = 120,413.40 : x
  2. Step 2: Convert to fraction form
    214,891.80/322,337.70 = 120,413.40/x
  3. Step 3: Cross multiply
    214,891.80x = 322,337.70 × 120,413.40
  4. Step 4: Simplify right side
    214,891.80x = 38,813,778,405.18
  5. Step 5: Solve for x
    x = 38,813,778,405.18/214,891.80
  6. Step 6: Final answer
    x = 180,620.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.