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Finding the Fourth Proportional to 223,679.70, 335,404.35 and 83,366.10

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Solution

The fourth proportional to 223,679.70, 335,404.35 and 83,366.10 is: 125,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,679.70 : 335,404.35 = 83,366.10 : x
  2. Step 2: Convert to fraction form
    223,679.70/335,404.35 = 83,366.10/x
  3. Step 3: Cross multiply
    223,679.70x = 335,404.35 × 83,366.10
  4. Step 4: Simplify right side
    223,679.70x = 27,961,352,582.54
  5. Step 5: Solve for x
    x = 27,961,352,582.54/223,679.70
  6. Step 6: Final answer
    x = 125,006.21

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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.