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Finding the Fourth Proportional to 119,324.11, 164,662.84 and 65,605.93

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Solution

The fourth proportional to 119,324.11, 164,662.84 and 65,605.93 is: 90,533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,324.11 : 164,662.84 = 65,605.93 : x
  2. Step 2: Convert to fraction form
    119,324.11/164,662.84 = 65,605.93/x
  3. Step 3: Cross multiply
    119,324.11x = 164,662.84 × 65,605.93
  4. Step 4: Simplify right side
    119,324.11x = 10,802,858,754.64
  5. Step 5: Solve for x
    x = 10,802,858,754.64/119,324.11
  6. Step 6: Final answer
    x = 90,533.75

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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.