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Finding the Fourth Proportional to 223,694.82, 335,438.55 and 83,415.78

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Solution

The fourth proportional to 223,694.82, 335,438.55 and 83,415.78 is: 125,085.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,694.82 : 335,438.55 = 83,415.78 : x
  2. Step 2: Convert to fraction form
    223,694.82/335,438.55 = 83,415.78/x
  3. Step 3: Cross multiply
    223,694.82x = 335,438.55 × 83,415.78
  4. Step 4: Simplify right side
    223,694.82x = 27,980,868,290.32
  5. Step 5: Solve for x
    x = 27,980,868,290.32/223,694.82
  6. Step 6: Final answer
    x = 125,085.01

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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.