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Finding the Fourth Proportional to 214,882.80, 296,446.41 and 134,255.40

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Solution

The fourth proportional to 214,882.80, 296,446.41 and 134,255.40 is: 185,215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,882.80 : 296,446.41 = 134,255.40 : x
  2. Step 2: Convert to fraction form
    214,882.80/296,446.41 = 134,255.40/x
  3. Step 3: Cross multiply
    214,882.80x = 296,446.41 × 134,255.40
  4. Step 4: Simplify right side
    214,882.80x = 39,799,531,353.11
  5. Step 5: Solve for x
    x = 39,799,531,353.11/214,882.80
  6. Step 6: Final answer
    x = 185,215.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.