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Finding the Fourth Proportional to 261,839.91, 361,339.38 and 148,662.66

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Solution

The fourth proportional to 261,839.91, 361,339.38 and 148,662.66 is: 205,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,839.91 : 361,339.38 = 148,662.66 : x
  2. Step 2: Convert to fraction form
    261,839.91/361,339.38 = 148,662.66/x
  3. Step 3: Cross multiply
    261,839.91x = 361,339.38 × 148,662.66
  4. Step 4: Simplify right side
    261,839.91x = 53,717,672,716.04
  5. Step 5: Solve for x
    x = 53,717,672,716.04/261,839.91
  6. Step 6: Final answer
    x = 205,154.64

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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.