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Finding the Fourth Proportional to 213,376.80, 320,180.40 and 95,066.40

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Solution

The fourth proportional to 213,376.80, 320,180.40 and 95,066.40 is: 142,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,376.80 : 320,180.40 = 95,066.40 : x
  2. Step 2: Convert to fraction form
    213,376.80/320,180.40 = 95,066.40/x
  3. Step 3: Cross multiply
    213,376.80x = 320,180.40 × 95,066.40
  4. Step 4: Simplify right side
    213,376.80x = 30,438,397,978.56
  5. Step 5: Solve for x
    x = 30,438,397,978.56/213,376.80
  6. Step 6: Final answer
    x = 142,650.93

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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.