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Finding the Fourth Proportional to 101,175.48, 151,856.46 and 51,291

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Solution

The fourth proportional to 101,175.48, 151,856.46 and 51,291 is: 76,983.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,175.48 : 151,856.46 = 51,291 : x
  2. Step 2: Convert to fraction form
    101,175.48/151,856.46 = 51,291/x
  3. Step 3: Cross multiply
    101,175.48x = 151,856.46 × 51,291
  4. Step 4: Simplify right side
    101,175.48x = 7,788,869,689.86
  5. Step 5: Solve for x
    x = 7,788,869,689.86/101,175.48
  6. Step 6: Final answer
    x = 76,983.77

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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.