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Finding the Fourth Proportional to 119,527.28, 164,952.04 and 65,814.56

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Solution

The fourth proportional to 119,527.28, 164,952.04 and 65,814.56 is: 90,826.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,527.28 : 164,952.04 = 65,814.56 : x
  2. Step 2: Convert to fraction form
    119,527.28/164,952.04 = 65,814.56/x
  3. Step 3: Cross multiply
    119,527.28x = 164,952.04 × 65,814.56
  4. Step 4: Simplify right side
    119,527.28x = 10,856,245,933.70
  5. Step 5: Solve for x
    x = 10,856,245,933.70/119,527.28
  6. Step 6: Final answer
    x = 90,826.51

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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.