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Finding the Fourth Proportional to 274,218.76, 411,302.22 and 87,197.32

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Solution

The fourth proportional to 274,218.76, 411,302.22 and 87,197.32 is: 130,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,218.76 : 411,302.22 = 87,197.32 : x
  2. Step 2: Convert to fraction form
    274,218.76/411,302.22 = 87,197.32/x
  3. Step 3: Cross multiply
    274,218.76x = 411,302.22 × 87,197.32
  4. Step 4: Simplify right side
    274,218.76x = 35,864,451,294.05
  5. Step 5: Solve for x
    x = 35,864,451,294.05/274,218.76
  6. Step 6: Final answer
    x = 130,787.74

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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.