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Finding the Fourth Proportional to 180,614.64, 270,823.20 and 143,413.68

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Solution

The fourth proportional to 180,614.64, 270,823.20 and 143,413.68 is: 215,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,614.64 : 270,823.20 = 143,413.68 : x
  2. Step 2: Convert to fraction form
    180,614.64/270,823.20 = 143,413.68/x
  3. Step 3: Cross multiply
    180,614.64x = 270,823.20 × 143,413.68
  4. Step 4: Simplify right side
    180,614.64x = 38,839,751,741.38
  5. Step 5: Solve for x
    x = 38,839,751,741.38/180,614.64
  6. Step 6: Final answer
    x = 215,042.10

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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.