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Finding the Fourth Proportional to 119,052.52, 164,292 and 65,338.42

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Solution

The fourth proportional to 119,052.52, 164,292 and 65,338.42 is: 90,166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,052.52 : 164,292 = 65,338.42 : x
  2. Step 2: Convert to fraction form
    119,052.52/164,292 = 65,338.42/x
  3. Step 3: Cross multiply
    119,052.52x = 164,292 × 65,338.42
  4. Step 4: Simplify right side
    119,052.52x = 10,734,579,698.64
  5. Step 5: Solve for x
    x = 10,734,579,698.64/119,052.52
  6. Step 6: Final answer
    x = 90,166.76

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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.