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Finding the Fourth Proportional to 225,644.68, 311,402.10 and 125,040.52

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Solution

The fourth proportional to 225,644.68, 311,402.10 and 125,040.52 is: 172,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,644.68 : 311,402.10 = 125,040.52 : x
  2. Step 2: Convert to fraction form
    225,644.68/311,402.10 = 125,040.52/x
  3. Step 3: Cross multiply
    225,644.68x = 311,402.10 × 125,040.52
  4. Step 4: Simplify right side
    225,644.68x = 38,937,880,513.09
  5. Step 5: Solve for x
    x = 38,937,880,513.09/225,644.68
  6. Step 6: Final answer
    x = 172,562.81

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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.