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Finding the Fourth Proportional to 119,052.45, 164,287.24 and 65,338.38

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Solution

The fourth proportional to 119,052.45, 164,287.24 and 65,338.38 is: 90,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,052.45 : 164,287.24 = 65,338.38 : x
  2. Step 2: Convert to fraction form
    119,052.45/164,287.24 = 65,338.38/x
  3. Step 3: Cross multiply
    119,052.45x = 164,287.24 × 65,338.38
  4. Step 4: Simplify right side
    119,052.45x = 10,734,261,952.93
  5. Step 5: Solve for x
    x = 10,734,261,952.93/119,052.45
  6. Step 6: Final answer
    x = 90,164.14

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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.