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Finding the Fourth Proportional to 185,083.38, 255,415.11 and 100,200.45

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Solution

The fourth proportional to 185,083.38, 255,415.11 and 100,200.45 is: 138,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,083.38 : 255,415.11 = 100,200.45 : x
  2. Step 2: Convert to fraction form
    185,083.38/255,415.11 = 100,200.45/x
  3. Step 3: Cross multiply
    185,083.38x = 255,415.11 × 100,200.45
  4. Step 4: Simplify right side
    185,083.38x = 25,592,708,958.80
  5. Step 5: Solve for x
    x = 25,592,708,958.80/185,083.38
  6. Step 6: Final answer
    x = 138,276.65

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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.