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Finding the Fourth Proportional to 223,815.80, 335,723.70 and 76,071.80

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Solution

The fourth proportional to 223,815.80, 335,723.70 and 76,071.80 is: 114,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,815.80 : 335,723.70 = 76,071.80 : x
  2. Step 2: Convert to fraction form
    223,815.80/335,723.70 = 76,071.80/x
  3. Step 3: Cross multiply
    223,815.80x = 335,723.70 × 76,071.80
  4. Step 4: Simplify right side
    223,815.80x = 25,539,106,161.66
  5. Step 5: Solve for x
    x = 25,539,106,161.66/223,815.80
  6. Step 6: Final answer
    x = 114,107.70

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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.