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Finding the Fourth Proportional to 261,908, 361,433.04 and 142,676

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Solution

The fourth proportional to 261,908, 361,433.04 and 142,676 is: 196,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,908 : 361,433.04 = 142,676 : x
  2. Step 2: Convert to fraction form
    261,908/361,433.04 = 142,676/x
  3. Step 3: Cross multiply
    261,908x = 361,433.04 × 142,676
  4. Step 4: Simplify right side
    261,908x = 51,567,820,415.04
  5. Step 5: Solve for x
    x = 51,567,820,415.04/261,908
  6. Step 6: Final answer
    x = 196,892.88

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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.