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Finding the Fourth Proportional to 185,240.36, 255,632.91 and 100,357.42

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Solution

The fourth proportional to 185,240.36, 255,632.91 and 100,357.42 is: 138,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,240.36 : 255,632.91 = 100,357.42 : x
  2. Step 2: Convert to fraction form
    185,240.36/255,632.91 = 100,357.42/x
  3. Step 3: Cross multiply
    185,240.36x = 255,632.91 × 100,357.42
  4. Step 4: Simplify right side
    185,240.36x = 25,654,659,314.69
  5. Step 5: Solve for x
    x = 25,654,659,314.69/185,240.36
  6. Step 6: Final answer
    x = 138,493.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.