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Finding the Fourth Proportional to 231,882.80, 347,824.20 and 113,784.80

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Solution

The fourth proportional to 231,882.80, 347,824.20 and 113,784.80 is: 170,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,882.80 : 347,824.20 = 113,784.80 : x
  2. Step 2: Convert to fraction form
    231,882.80/347,824.20 = 113,784.80/x
  3. Step 3: Cross multiply
    231,882.80x = 347,824.20 × 113,784.80
  4. Step 4: Simplify right side
    231,882.80x = 39,577,107,032.16
  5. Step 5: Solve for x
    x = 39,577,107,032.16/231,882.80
  6. Step 6: Final answer
    x = 170,677.20

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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.