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Finding the Fourth Proportional to 106,031.31, 146,330.11 and 65,771.81

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Solution

The fourth proportional to 106,031.31, 146,330.11 and 65,771.81 is: 90,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,031.31 : 146,330.11 = 65,771.81 : x
  2. Step 2: Convert to fraction form
    106,031.31/146,330.11 = 65,771.81/x
  3. Step 3: Cross multiply
    106,031.31x = 146,330.11 × 65,771.81
  4. Step 4: Simplify right side
    106,031.31x = 9,624,396,192.20
  5. Step 5: Solve for x
    x = 9,624,396,192.20/106,031.31
  6. Step 6: Final answer
    x = 90,769.38

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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.