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Finding the Fourth Proportional to 223,960.32, 309,065.22 and 123,358.32

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Solution

The fourth proportional to 223,960.32, 309,065.22 and 123,358.32 is: 170,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,960.32 : 309,065.22 = 123,358.32 : x
  2. Step 2: Convert to fraction form
    223,960.32/309,065.22 = 123,358.32/x
  3. Step 3: Cross multiply
    223,960.32x = 309,065.22 × 123,358.32
  4. Step 4: Simplify right side
    223,960.32x = 38,125,766,309.63
  5. Step 5: Solve for x
    x = 38,125,766,309.63/223,960.32
  6. Step 6: Final answer
    x = 170,234.47

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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.