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Finding the Fourth Proportional to 261,849.34, 361,352.34 and 148,672.09

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Solution

The fourth proportional to 261,849.34, 361,352.34 and 148,672.09 is: 205,167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,849.34 : 361,352.34 = 148,672.09 : x
  2. Step 2: Convert to fraction form
    261,849.34/361,352.34 = 148,672.09/x
  3. Step 3: Cross multiply
    261,849.34x = 361,352.34 × 148,672.09
  4. Step 4: Simplify right side
    261,849.34x = 53,723,007,614.19
  5. Step 5: Solve for x
    x = 53,723,007,614.19/261,849.34
  6. Step 6: Final answer
    x = 205,167.63

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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.