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Finding the Fourth Proportional to 137,213.76, 206,165.16 and 87,315.60

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Solution

The fourth proportional to 137,213.76, 206,165.16 and 87,315.60 is: 131,192.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,213.76 : 206,165.16 = 87,315.60 : x
  2. Step 2: Convert to fraction form
    137,213.76/206,165.16 = 87,315.60/x
  3. Step 3: Cross multiply
    137,213.76x = 206,165.16 × 87,315.60
  4. Step 4: Simplify right side
    137,213.76x = 18,001,434,644.50
  5. Step 5: Solve for x
    x = 18,001,434,644.50/137,213.76
  6. Step 6: Final answer
    x = 131,192.63

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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.