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Finding the Fourth Proportional to 143,260.60, 214,934.10 and 76,732.60

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Solution

The fourth proportional to 143,260.60, 214,934.10 and 76,732.60 is: 115,122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,260.60 : 214,934.10 = 76,732.60 : x
  2. Step 2: Convert to fraction form
    143,260.60/214,934.10 = 76,732.60/x
  3. Step 3: Cross multiply
    143,260.60x = 214,934.10 × 76,732.60
  4. Step 4: Simplify right side
    143,260.60x = 16,492,452,321.66
  5. Step 5: Solve for x
    x = 16,492,452,321.66/143,260.60
  6. Step 6: Final answer
    x = 115,122.04

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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.