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Finding the Fourth Proportional to 106,072.98, 146,344.28 and 65,772.24

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Solution

The fourth proportional to 106,072.98, 146,344.28 and 65,772.24 is: 90,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,072.98 : 146,344.28 = 65,772.24 : x
  2. Step 2: Convert to fraction form
    106,072.98/146,344.28 = 65,772.24/x
  3. Step 3: Cross multiply
    106,072.98x = 146,344.28 × 65,772.24
  4. Step 4: Simplify right side
    106,072.98x = 9,625,390,375.07
  5. Step 5: Solve for x
    x = 9,625,390,375.07/106,072.98
  6. Step 6: Final answer
    x = 90,743.10

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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.