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Finding the Fourth Proportional to 178,987.84, 268,481.65 and 52,629.13

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Solution

The fourth proportional to 178,987.84, 268,481.65 and 52,629.13 is: 78,943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,987.84 : 268,481.65 = 52,629.13 : x
  2. Step 2: Convert to fraction form
    178,987.84/268,481.65 = 52,629.13/x
  3. Step 3: Cross multiply
    178,987.84x = 268,481.65 × 52,629.13
  4. Step 4: Simplify right side
    178,987.84x = 14,129,955,456.44
  5. Step 5: Solve for x
    x = 14,129,955,456.44/178,987.84
  6. Step 6: Final answer
    x = 78,943.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.