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Finding the Fourth Proportional to 223,418.70, 334,928.79 and 83,081.34

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Solution

The fourth proportional to 223,418.70, 334,928.79 and 83,081.34 is: 124,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,418.70 : 334,928.79 = 83,081.34 : x
  2. Step 2: Convert to fraction form
    223,418.70/334,928.79 = 83,081.34/x
  3. Step 3: Cross multiply
    223,418.70x = 334,928.79 × 83,081.34
  4. Step 4: Simplify right side
    223,418.70x = 27,826,332,677.78
  5. Step 5: Solve for x
    x = 27,826,332,677.78/223,418.70
  6. Step 6: Final answer
    x = 124,547.91

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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.