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Finding the Fourth Proportional to 223,998.34, 309,117.57 and 123,396.34

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Solution

The fourth proportional to 223,998.34, 309,117.57 and 123,396.34 is: 170,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,998.34 : 309,117.57 = 123,396.34 : x
  2. Step 2: Convert to fraction form
    223,998.34/309,117.57 = 123,396.34/x
  3. Step 3: Cross multiply
    223,998.34x = 309,117.57 × 123,396.34
  4. Step 4: Simplify right side
    223,998.34x = 38,143,977,152.92
  5. Step 5: Solve for x
    x = 38,143,977,152.92/223,998.34
  6. Step 6: Final answer
    x = 170,286.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.