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Finding the Fourth Proportional to 185,596.09, 256,122.80 and 100,713.15

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Solution

The fourth proportional to 185,596.09, 256,122.80 and 100,713.15 is: 138,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,596.09 : 256,122.80 = 100,713.15 : x
  2. Step 2: Convert to fraction form
    185,596.09/256,122.80 = 100,713.15/x
  3. Step 3: Cross multiply
    185,596.09x = 256,122.80 × 100,713.15
  4. Step 4: Simplify right side
    185,596.09x = 25,794,933,974.82
  5. Step 5: Solve for x
    x = 25,794,933,974.82/185,596.09
  6. Step 6: Final answer
    x = 138,984.25

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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.