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Finding the Fourth Proportional to 225,717.84, 338,349.25 and 141,537.48

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Solution

The fourth proportional to 225,717.84, 338,349.25 and 141,537.48 is: 212,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,717.84 : 338,349.25 = 141,537.48 : x
  2. Step 2: Convert to fraction form
    225,717.84/338,349.25 = 141,537.48/x
  3. Step 3: Cross multiply
    225,717.84x = 338,349.25 × 141,537.48
  4. Step 4: Simplify right side
    225,717.84x = 47,889,099,113.00
  5. Step 5: Solve for x
    x = 47,889,099,113.00/225,717.84
  6. Step 6: Final answer
    x = 212,163.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.