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Finding the Fourth Proportional to 225,046.46, 310,592.49 and 147,587.25

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Solution

The fourth proportional to 225,046.46, 310,592.49 and 147,587.25 is: 203,689.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,046.46 : 310,592.49 = 147,587.25 : x
  2. Step 2: Convert to fraction form
    225,046.46/310,592.49 = 147,587.25/x
  3. Step 3: Cross multiply
    225,046.46x = 310,592.49 × 147,587.25
  4. Step 4: Simplify right side
    225,046.46x = 45,839,491,469.75
  5. Step 5: Solve for x
    x = 45,839,491,469.75/225,046.46
  6. Step 6: Final answer
    x = 203,689.01

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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.