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Finding the Fourth Proportional to 223,564.98, 335,347.69 and 90,446.37

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Solution

The fourth proportional to 223,564.98, 335,347.69 and 90,446.37 is: 135,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,564.98 : 335,347.69 = 90,446.37 : x
  2. Step 2: Convert to fraction form
    223,564.98/335,347.69 = 90,446.37/x
  3. Step 3: Cross multiply
    223,564.98x = 335,347.69 × 90,446.37
  4. Step 4: Simplify right side
    223,564.98x = 30,330,981,248.39
  5. Step 5: Solve for x
    x = 30,330,981,248.39/223,564.98
  6. Step 6: Final answer
    x = 135,669.64

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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.