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Finding the Fourth Proportional to 268,861.58, 371,022.42 and 148,001.78

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Solution

The fourth proportional to 268,861.58, 371,022.42 and 148,001.78 is: 204,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,861.58 : 371,022.42 = 148,001.78 : x
  2. Step 2: Convert to fraction form
    268,861.58/371,022.42 = 148,001.78/x
  3. Step 3: Cross multiply
    268,861.58x = 371,022.42 × 148,001.78
  4. Step 4: Simplify right side
    268,861.58x = 54,911,980,062.47
  5. Step 5: Solve for x
    x = 54,911,980,062.47/268,861.58
  6. Step 6: Final answer
    x = 204,238.85

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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.