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Finding the Fourth Proportional to 185,422.84, 255,882.45 and 100,538.08

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Solution

The fourth proportional to 185,422.84, 255,882.45 and 100,538.08 is: 138,741.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,422.84 : 255,882.45 = 100,538.08 : x
  2. Step 2: Convert to fraction form
    185,422.84/255,882.45 = 100,538.08/x
  3. Step 3: Cross multiply
    185,422.84x = 255,882.45 × 100,538.08
  4. Step 4: Simplify right side
    185,422.84x = 25,725,930,228.70
  5. Step 5: Solve for x
    x = 25,725,930,228.70/185,422.84
  6. Step 6: Final answer
    x = 138,741.97

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1.5x scale

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.