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Finding the Fourth Proportional to 182,897.12, 251,836.96 and 160,108.56

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Solution

The fourth proportional to 182,897.12, 251,836.96 and 160,108.56 is: 220,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,897.12 : 251,836.96 = 160,108.56 : x
  2. Step 2: Convert to fraction form
    182,897.12/251,836.96 = 160,108.56/x
  3. Step 3: Cross multiply
    182,897.12x = 251,836.96 × 160,108.56
  4. Step 4: Simplify right side
    182,897.12x = 40,321,253,020.38
  5. Step 5: Solve for x
    x = 40,321,253,020.38/182,897.12
  6. Step 6: Final answer
    x = 220,458.65

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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.