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Finding the Fourth Proportional to 261,977.84, 361,503 and 148,778.48

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Solution

The fourth proportional to 261,977.84, 361,503 and 148,778.48 is: 205,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,977.84 : 361,503 = 148,778.48 : x
  2. Step 2: Convert to fraction form
    261,977.84/361,503 = 148,778.48/x
  3. Step 3: Cross multiply
    261,977.84x = 361,503 × 148,778.48
  4. Step 4: Simplify right side
    261,977.84x = 53,783,866,855.44
  5. Step 5: Solve for x
    x = 53,783,866,855.44/261,977.84
  6. Step 6: Final answer
    x = 205,299.30

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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.