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Finding the Fourth Proportional to 223,355.64, 335,089.89 and 65,584.11

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Solution

The fourth proportional to 223,355.64, 335,089.89 and 65,584.11 is: 98,392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,355.64 : 335,089.89 = 65,584.11 : x
  2. Step 2: Convert to fraction form
    223,355.64/335,089.89 = 65,584.11/x
  3. Step 3: Cross multiply
    223,355.64x = 335,089.89 × 65,584.11
  4. Step 4: Simplify right side
    223,355.64x = 21,976,572,205.65
  5. Step 5: Solve for x
    x = 21,976,572,205.65/223,355.64
  6. Step 6: Final answer
    x = 98,392.73

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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.