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Finding the Fourth Proportional to 185,380.96, 255,826.01 and 100,498.03

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Solution

The fourth proportional to 185,380.96, 255,826.01 and 100,498.03 is: 138,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,380.96 : 255,826.01 = 100,498.03 : x
  2. Step 2: Convert to fraction form
    185,380.96/255,826.01 = 100,498.03/x
  3. Step 3: Cross multiply
    185,380.96x = 255,826.01 × 100,498.03
  4. Step 4: Simplify right side
    185,380.96x = 25,710,010,027.76
  5. Step 5: Solve for x
    x = 25,710,010,027.76/185,380.96
  6. Step 6: Final answer
    x = 138,687.44

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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.