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Finding the Fourth Proportional to 234,100.72, 322,753.98 and 149,186.80

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Solution

The fourth proportional to 234,100.72, 322,753.98 and 149,186.80 is: 205,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,100.72 : 322,753.98 = 149,186.80 : x
  2. Step 2: Convert to fraction form
    234,100.72/322,753.98 = 149,186.80/x
  3. Step 3: Cross multiply
    234,100.72x = 322,753.98 × 149,186.80
  4. Step 4: Simplify right side
    234,100.72x = 48,150,633,463.46
  5. Step 5: Solve for x
    x = 48,150,633,463.46/234,100.72
  6. Step 6: Final answer
    x = 205,683.41

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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.