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Finding the Fourth Proportional to 256,225.66, 353,634.67 and 148,857.97

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Solution

The fourth proportional to 256,225.66, 353,634.67 and 148,857.97 is: 205,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,225.66 : 353,634.67 = 148,857.97 : x
  2. Step 2: Convert to fraction form
    256,225.66/353,634.67 = 148,857.97/x
  3. Step 3: Cross multiply
    256,225.66x = 353,634.67 × 148,857.97
  4. Step 4: Simplify right side
    256,225.66x = 52,641,337,329.65
  5. Step 5: Solve for x
    x = 52,641,337,329.65/256,225.66
  6. Step 6: Final answer
    x = 205,449.13

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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.