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Finding the Fourth Proportional to 185,506.38, 255,997.50 and 100,623.54

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Solution

The fourth proportional to 185,506.38, 255,997.50 and 100,623.54 is: 138,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,506.38 : 255,997.50 = 100,623.54 : x
  2. Step 2: Convert to fraction form
    185,506.38/255,997.50 = 100,623.54/x
  3. Step 3: Cross multiply
    185,506.38x = 255,997.50 × 100,623.54
  4. Step 4: Simplify right side
    185,506.38x = 25,759,374,681.15
  5. Step 5: Solve for x
    x = 25,759,374,681.15/185,506.38
  6. Step 6: Final answer
    x = 138,859.78

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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.