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Finding the Fourth Proportional to 206,851.46, 310,401.11 and 88,522.92

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Solution

The fourth proportional to 206,851.46, 310,401.11 and 88,522.92 is: 132,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,851.46 : 310,401.11 = 88,522.92 : x
  2. Step 2: Convert to fraction form
    206,851.46/310,401.11 = 88,522.92/x
  3. Step 3: Cross multiply
    206,851.46x = 310,401.11 × 88,522.92
  4. Step 4: Simplify right side
    206,851.46x = 27,477,612,849.75
  5. Step 5: Solve for x
    x = 27,477,612,849.75/206,851.46
  6. Step 6: Final answer
    x = 132,837.42

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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.