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Finding the Fourth Proportional to 182,043.86, 251,229.16 and 101,471.96

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Solution

The fourth proportional to 182,043.86, 251,229.16 and 101,471.96 is: 140,036.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,043.86 : 251,229.16 = 101,471.96 : x
  2. Step 2: Convert to fraction form
    182,043.86/251,229.16 = 101,471.96/x
  3. Step 3: Cross multiply
    182,043.86x = 251,229.16 × 101,471.96
  4. Step 4: Simplify right side
    182,043.86x = 25,492,715,274.35
  5. Step 5: Solve for x
    x = 25,492,715,274.35/182,043.86
  6. Step 6: Final answer
    x = 140,036.12

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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.