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Finding the Fourth Proportional to 261,963, 361,508.94 and 142,731

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Solution

The fourth proportional to 261,963, 361,508.94 and 142,731 is: 196,968.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,963 : 361,508.94 = 142,731 : x
  2. Step 2: Convert to fraction form
    261,963/361,508.94 = 142,731/x
  3. Step 3: Cross multiply
    261,963x = 361,508.94 × 142,731
  4. Step 4: Simplify right side
    261,963x = 51,598,532,515.14
  5. Step 5: Solve for x
    x = 51,598,532,515.14/261,963
  6. Step 6: Final answer
    x = 196,968.78

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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.