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Finding the Fourth Proportional to 155,817.20, 214,976.10 and 87,825.80

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Solution

The fourth proportional to 155,817.20, 214,976.10 and 87,825.80 is: 121,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,817.20 : 214,976.10 = 87,825.80 : x
  2. Step 2: Convert to fraction form
    155,817.20/214,976.10 = 87,825.80/x
  3. Step 3: Cross multiply
    155,817.20x = 214,976.10 × 87,825.80
  4. Step 4: Simplify right side
    155,817.20x = 18,880,447,963.38
  5. Step 5: Solve for x
    x = 18,880,447,963.38/155,817.20
  6. Step 6: Final answer
    x = 121,170.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.