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Finding the Fourth Proportional to 223,891.74, 335,826.27 and 83,639.34

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Solution

The fourth proportional to 223,891.74, 335,826.27 and 83,639.34 is: 125,454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,891.74 : 335,826.27 = 83,639.34 : x
  2. Step 2: Convert to fraction form
    223,891.74/335,826.27 = 83,639.34/x
  3. Step 3: Cross multiply
    223,891.74x = 335,826.27 × 83,639.34
  4. Step 4: Simplify right side
    223,891.74x = 28,088,287,577.46
  5. Step 5: Solve for x
    x = 28,088,287,577.46/223,891.74
  6. Step 6: Final answer
    x = 125,454.77

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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.