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Finding the Fourth Proportional to 261,910, 361,435.80 and 142,678

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Solution

The fourth proportional to 261,910, 361,435.80 and 142,678 is: 196,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,910 : 361,435.80 = 142,678 : x
  2. Step 2: Convert to fraction form
    261,910/361,435.80 = 142,678/x
  3. Step 3: Cross multiply
    261,910x = 361,435.80 × 142,678
  4. Step 4: Simplify right side
    261,910x = 51,568,937,072.40
  5. Step 5: Solve for x
    x = 51,568,937,072.40/261,910
  6. Step 6: Final answer
    x = 196,895.64

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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.