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Finding the Fourth Proportional to 225,630.75, 311,373.89 and 123,655.38

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Solution

The fourth proportional to 225,630.75, 311,373.89 and 123,655.38 is: 170,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,630.75 : 311,373.89 = 123,655.38 : x
  2. Step 2: Convert to fraction form
    225,630.75/311,373.89 = 123,655.38/x
  3. Step 3: Cross multiply
    225,630.75x = 311,373.89 × 123,655.38
  4. Step 4: Simplify right side
    225,630.75x = 38,503,056,690.03
  5. Step 5: Solve for x
    x = 38,503,056,690.03/225,630.75
  6. Step 6: Final answer
    x = 170,646.32

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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.