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Finding the Fourth Proportional to 149,934.33, 224,963.97 and 65,754.91

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Solution

The fourth proportional to 149,934.33, 224,963.97 and 65,754.91 is: 98,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,934.33 : 224,963.97 = 65,754.91 : x
  2. Step 2: Convert to fraction form
    149,934.33/224,963.97 = 65,754.91/x
  3. Step 3: Cross multiply
    149,934.33x = 224,963.97 × 65,754.91
  4. Step 4: Simplify right side
    149,934.33x = 14,792,484,147.00
  5. Step 5: Solve for x
    x = 14,792,484,147.00/149,934.33
  6. Step 6: Final answer
    x = 98,659.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.