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Finding the Fourth Proportional to 185,351.44, 255,784.08 and 100,468.30

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Solution

The fourth proportional to 185,351.44, 255,784.08 and 100,468.30 is: 138,645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,351.44 : 255,784.08 = 100,468.30 : x
  2. Step 2: Convert to fraction form
    185,351.44/255,784.08 = 100,468.30/x
  3. Step 3: Cross multiply
    185,351.44x = 255,784.08 × 100,468.30
  4. Step 4: Simplify right side
    185,351.44x = 25,698,191,684.66
  5. Step 5: Solve for x
    x = 25,698,191,684.66/185,351.44
  6. Step 6: Final answer
    x = 138,645.76

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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.