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Finding the Fourth Proportional to 178,255.20, 267,382.80 and 143,263.20

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Solution

The fourth proportional to 178,255.20, 267,382.80 and 143,263.20 is: 214,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,255.20 : 267,382.80 = 143,263.20 : x
  2. Step 2: Convert to fraction form
    178,255.20/267,382.80 = 143,263.20/x
  3. Step 3: Cross multiply
    178,255.20x = 267,382.80 × 143,263.20
  4. Step 4: Simplify right side
    178,255.20x = 38,306,115,552.96
  5. Step 5: Solve for x
    x = 38,306,115,552.96/178,255.20
  6. Step 6: Final answer
    x = 214,894.80

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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.