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Finding the Fourth Proportional to 175,757, 263,680.47 and 51,098

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Solution

The fourth proportional to 175,757, 263,680.47 and 51,098 is: 76,660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,757 : 263,680.47 = 51,098 : x
  2. Step 2: Convert to fraction form
    175,757/263,680.47 = 51,098/x
  3. Step 3: Cross multiply
    175,757x = 263,680.47 × 51,098
  4. Step 4: Simplify right side
    175,757x = 13,473,544,656.06
  5. Step 5: Solve for x
    x = 13,473,544,656.06/175,757
  6. Step 6: Final answer
    x = 76,660.07

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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.