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Finding the Fourth Proportional to 261,645.10, 361,074 and 146,948.56

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Solution

The fourth proportional to 261,645.10, 361,074 and 146,948.56 is: 202,791.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,645.10 : 361,074 = 146,948.56 : x
  2. Step 2: Convert to fraction form
    261,645.10/361,074 = 146,948.56/x
  3. Step 3: Cross multiply
    261,645.10x = 361,074 × 146,948.56
  4. Step 4: Simplify right side
    261,645.10x = 53,059,304,353.44
  5. Step 5: Solve for x
    x = 53,059,304,353.44/261,645.10
  6. Step 6: Final answer
    x = 202,791.13

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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.