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Finding the Fourth Proportional to 182,100.30, 251,293.50 and 105,614.57

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Solution

The fourth proportional to 182,100.30, 251,293.50 and 105,614.57 is: 145,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,100.30 : 251,293.50 = 105,614.57 : x
  2. Step 2: Convert to fraction form
    182,100.30/251,293.50 = 105,614.57/x
  3. Step 3: Cross multiply
    182,100.30x = 251,293.50 × 105,614.57
  4. Step 4: Simplify right side
    182,100.30x = 26,540,253,689.83
  5. Step 5: Solve for x
    x = 26,540,253,689.83/182,100.30
  6. Step 6: Final answer
    x = 145,745.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.