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Finding the Fourth Proportional to 185,751.84, 256,353.36 and 105,193.44

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Solution

The fourth proportional to 185,751.84, 256,353.36 and 105,193.44 is: 145,175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,751.84 : 256,353.36 = 105,193.44 : x
  2. Step 2: Convert to fraction form
    185,751.84/256,353.36 = 105,193.44/x
  3. Step 3: Cross multiply
    185,751.84x = 256,353.36 × 105,193.44
  4. Step 4: Simplify right side
    185,751.84x = 26,966,691,793.96
  5. Step 5: Solve for x
    x = 26,966,691,793.96/185,751.84
  6. Step 6: Final answer
    x = 145,175.91

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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.