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Finding the Fourth Proportional to 136,327.74, 188,136.48 and 74,242.38

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Solution

The fourth proportional to 136,327.74, 188,136.48 and 74,242.38 is: 102,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,327.74 : 188,136.48 = 74,242.38 : x
  2. Step 2: Convert to fraction form
    136,327.74/188,136.48 = 74,242.38/x
  3. Step 3: Cross multiply
    136,327.74x = 188,136.48 × 74,242.38
  4. Step 4: Simplify right side
    136,327.74x = 13,967,700,040.02
  5. Step 5: Solve for x
    x = 13,967,700,040.02/136,327.74
  6. Step 6: Final answer
    x = 102,456.77

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Why These Related Problems?

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