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Finding the Fourth Proportional to 332,100, 458,251.74 and 188,844.18

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Solution

The fourth proportional to 332,100, 458,251.74 and 188,844.18 is: 260,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,100 : 458,251.74 = 188,844.18 : x
  2. Step 2: Convert to fraction form
    332,100/458,251.74 = 188,844.18/x
  3. Step 3: Cross multiply
    332,100x = 458,251.74 × 188,844.18
  4. Step 4: Simplify right side
    332,100x = 86,538,174,073.87
  5. Step 5: Solve for x
    x = 86,538,174,073.87/332,100
  6. Step 6: Final answer
    x = 260,578.66

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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.