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Finding the Fourth Proportional to 225,895.49, 338,627.14 and 83,702.56

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Solution

The fourth proportional to 225,895.49, 338,627.14 and 83,702.56 is: 125,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,895.49 : 338,627.14 = 83,702.56 : x
  2. Step 2: Convert to fraction form
    225,895.49/338,627.14 = 83,702.56/x
  3. Step 3: Cross multiply
    225,895.49x = 338,627.14 × 83,702.56
  4. Step 4: Simplify right side
    225,895.49x = 28,343,956,567.06
  5. Step 5: Solve for x
    x = 28,343,956,567.06/225,895.49
  6. Step 6: Final answer
    x = 125,473.76

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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.