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Finding the Fourth Proportional to 223,768.82, 335,684.16 and 71,970.19

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Solution

The fourth proportional to 223,768.82, 335,684.16 and 71,970.19 is: 107,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,768.82 : 335,684.16 = 71,970.19 : x
  2. Step 2: Convert to fraction form
    223,768.82/335,684.16 = 71,970.19/x
  3. Step 3: Cross multiply
    223,768.82x = 335,684.16 × 71,970.19
  4. Step 4: Simplify right side
    223,768.82x = 24,159,252,775.19
  5. Step 5: Solve for x
    x = 24,159,252,775.19/223,768.82
  6. Step 6: Final answer
    x = 107,965.24

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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.