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Finding the Fourth Proportional to 223,444.80, 335,296.80 and 83,217.60

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Solution

The fourth proportional to 223,444.80, 335,296.80 and 83,217.60 is: 124,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,444.80 : 335,296.80 = 83,217.60 : x
  2. Step 2: Convert to fraction form
    223,444.80/335,296.80 = 83,217.60/x
  3. Step 3: Cross multiply
    223,444.80x = 335,296.80 × 83,217.60
  4. Step 4: Simplify right side
    223,444.80x = 27,902,594,983.68
  5. Step 5: Solve for x
    x = 27,902,594,983.68/223,444.80
  6. Step 6: Final answer
    x = 124,874.67

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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.