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Finding the Fourth Proportional to 225,824.97, 338,442.16 and 92,549.19

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Solution

The fourth proportional to 225,824.97, 338,442.16 and 92,549.19 is: 138,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,824.97 : 338,442.16 = 92,549.19 : x
  2. Step 2: Convert to fraction form
    225,824.97/338,442.16 = 92,549.19/x
  3. Step 3: Cross multiply
    225,824.97x = 338,442.16 × 92,549.19
  4. Step 4: Simplify right side
    225,824.97x = 31,322,547,769.85
  5. Step 5: Solve for x
    x = 31,322,547,769.85/225,824.97
  6. Step 6: Final answer
    x = 138,702.77

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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.