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Finding the Fourth Proportional to 180,562.74, 270,833.31 and 62,231.46

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Solution

The fourth proportional to 180,562.74, 270,833.31 and 62,231.46 is: 93,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,562.74 : 270,833.31 = 62,231.46 : x
  2. Step 2: Convert to fraction form
    180,562.74/270,833.31 = 62,231.46/x
  3. Step 3: Cross multiply
    180,562.74x = 270,833.31 × 62,231.46
  4. Step 4: Simplify right side
    180,562.74x = 16,854,352,297.93
  5. Step 5: Solve for x
    x = 16,854,352,297.93/180,562.74
  6. Step 6: Final answer
    x = 93,343.47

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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.