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Finding the Fourth Proportional to 101,585.44, 140,096.10 and 65,738.08

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Solution

The fourth proportional to 101,585.44, 140,096.10 and 65,738.08 is: 90,659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,585.44 : 140,096.10 = 65,738.08 : x
  2. Step 2: Convert to fraction form
    101,585.44/140,096.10 = 65,738.08/x
  3. Step 3: Cross multiply
    101,585.44x = 140,096.10 × 65,738.08
  4. Step 4: Simplify right side
    101,585.44x = 9,209,648,629.49
  5. Step 5: Solve for x
    x = 9,209,648,629.49/101,585.44
  6. Step 6: Final answer
    x = 90,659.14

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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.