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Finding the Fourth Proportional to 261,576.97, 360,963.90 and 145,297.98

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Solution

The fourth proportional to 261,576.97, 360,963.90 and 145,297.98 is: 200,504.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,576.97 : 360,963.90 = 145,297.98 : x
  2. Step 2: Convert to fraction form
    261,576.97/360,963.90 = 145,297.98/x
  3. Step 3: Cross multiply
    261,576.97x = 360,963.90 × 145,297.98
  4. Step 4: Simplify right side
    261,576.97x = 52,447,325,522.92
  5. Step 5: Solve for x
    x = 52,447,325,522.92/261,576.97
  6. Step 6: Final answer
    x = 200,504.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.