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Finding the Fourth Proportional to 185,523.39, 256,022.34 and 104,949.18

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Solution

The fourth proportional to 185,523.39, 256,022.34 and 104,949.18 is: 144,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,523.39 : 256,022.34 = 104,949.18 : x
  2. Step 2: Convert to fraction form
    185,523.39/256,022.34 = 104,949.18/x
  3. Step 3: Cross multiply
    185,523.39x = 256,022.34 × 104,949.18
  4. Step 4: Simplify right side
    185,523.39x = 26,869,334,644.68
  5. Step 5: Solve for x
    x = 26,869,334,644.68/185,523.39
  6. Step 6: Final answer
    x = 144,829.90

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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.