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Finding the Fourth Proportional to 142,486.80, 213,730.20 and 140,413.20

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Solution

The fourth proportional to 142,486.80, 213,730.20 and 140,413.20 is: 210,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,486.80 : 213,730.20 = 140,413.20 : x
  2. Step 2: Convert to fraction form
    142,486.80/213,730.20 = 140,413.20/x
  3. Step 3: Cross multiply
    142,486.80x = 213,730.20 × 140,413.20
  4. Step 4: Simplify right side
    142,486.80x = 30,010,541,318.64
  5. Step 5: Solve for x
    x = 30,010,541,318.64/142,486.80
  6. Step 6: Final answer
    x = 210,619.80

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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.