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Finding the Fourth Proportional to 223,642.70, 335,464.09 and 65,871.17

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Solution

The fourth proportional to 223,642.70, 335,464.09 and 65,871.17 is: 98,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,642.70 : 335,464.09 = 65,871.17 : x
  2. Step 2: Convert to fraction form
    223,642.70/335,464.09 = 65,871.17/x
  3. Step 3: Cross multiply
    223,642.70x = 335,464.09 × 65,871.17
  4. Step 4: Simplify right side
    223,642.70x = 22,097,410,259.29
  5. Step 5: Solve for x
    x = 22,097,410,259.29/223,642.70
  6. Step 6: Final answer
    x = 98,806.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.