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Finding the Fourth Proportional to 140,162, 210,273.72 and 52,610

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Solution

The fourth proportional to 140,162, 210,273.72 and 52,610 is: 78,926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,162 : 210,273.72 = 52,610 : x
  2. Step 2: Convert to fraction form
    140,162/210,273.72 = 52,610/x
  3. Step 3: Cross multiply
    140,162x = 210,273.72 × 52,610
  4. Step 4: Simplify right side
    140,162x = 11,062,500,409.20
  5. Step 5: Solve for x
    x = 11,062,500,409.20/140,162
  6. Step 6: Final answer
    x = 78,926.53

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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.