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Finding the Fourth Proportional to 106,033.31, 146,332.87 and 65,773.81

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Solution

The fourth proportional to 106,033.31, 146,332.87 and 65,773.81 is: 90,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,033.31 : 146,332.87 = 65,773.81 : x
  2. Step 2: Convert to fraction form
    106,033.31/146,332.87 = 65,773.81/x
  3. Step 3: Cross multiply
    106,033.31x = 146,332.87 × 65,773.81
  4. Step 4: Simplify right side
    106,033.31x = 9,624,870,388.13
  5. Step 5: Solve for x
    x = 9,624,870,388.13/106,033.31
  6. Step 6: Final answer
    x = 90,772.14

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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.