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Finding the Fourth Proportional to 185,350.96, 255,784.08 and 100,468

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Solution

The fourth proportional to 185,350.96, 255,784.08 and 100,468 is: 138,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,350.96 : 255,784.08 = 100,468 : x
  2. Step 2: Convert to fraction form
    185,350.96/255,784.08 = 100,468/x
  3. Step 3: Cross multiply
    185,350.96x = 255,784.08 × 100,468
  4. Step 4: Simplify right side
    185,350.96x = 25,698,114,949.44
  5. Step 5: Solve for x
    x = 25,698,114,949.44/185,350.96
  6. Step 6: Final answer
    x = 138,645.71

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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.