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Finding the Fourth Proportional to 261,474, 360,839.88 and 142,242

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Solution

The fourth proportional to 261,474, 360,839.88 and 142,242 is: 196,297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,474 : 360,839.88 = 142,242 : x
  2. Step 2: Convert to fraction form
    261,474/360,839.88 = 142,242/x
  3. Step 3: Cross multiply
    261,474x = 360,839.88 × 142,242
  4. Step 4: Simplify right side
    261,474x = 51,326,586,210.96
  5. Step 5: Solve for x
    x = 51,326,586,210.96/261,474
  6. Step 6: Final answer
    x = 196,297.09

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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.