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Finding the Fourth Proportional to 225,397.14, 311,034.33 and 123,423.84

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Solution

The fourth proportional to 225,397.14, 311,034.33 and 123,423.84 is: 170,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,397.14 : 311,034.33 = 123,423.84 : x
  2. Step 2: Convert to fraction form
    225,397.14/311,034.33 = 123,423.84/x
  3. Step 3: Cross multiply
    225,397.14x = 311,034.33 × 123,423.84
  4. Step 4: Simplify right side
    225,397.14x = 38,389,051,380.43
  5. Step 5: Solve for x
    x = 38,389,051,380.43/225,397.14
  6. Step 6: Final answer
    x = 170,317.38

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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.