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Finding the Fourth Proportional to 256,169.69, 353,512.82 and 148,766.12

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Solution

The fourth proportional to 256,169.69, 353,512.82 and 148,766.12 is: 205,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,169.69 : 353,512.82 = 148,766.12 : x
  2. Step 2: Convert to fraction form
    256,169.69/353,512.82 = 148,766.12/x
  3. Step 3: Cross multiply
    256,169.69x = 353,512.82 × 148,766.12
  4. Step 4: Simplify right side
    256,169.69x = 52,590,729,857.83
  5. Step 5: Solve for x
    x = 52,590,729,857.83/256,169.69
  6. Step 6: Final answer
    x = 205,296.46

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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.