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Finding the Fourth Proportional to 182,866.50, 274,297.86 and 138,764.16

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Solution

The fourth proportional to 182,866.50, 274,297.86 and 138,764.16 is: 208,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,866.50 : 274,297.86 = 138,764.16 : x
  2. Step 2: Convert to fraction form
    182,866.50/274,297.86 = 138,764.16/x
  3. Step 3: Cross multiply
    182,866.50x = 274,297.86 × 138,764.16
  4. Step 4: Simplify right side
    182,866.50x = 38,062,712,132.70
  5. Step 5: Solve for x
    x = 38,062,712,132.70/182,866.50
  6. Step 6: Final answer
    x = 208,144.81

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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.