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Finding the Fourth Proportional to 223,896.13, 308,976.65 and 123,294.13

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Solution

The fourth proportional to 223,896.13, 308,976.65 and 123,294.13 is: 170,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,896.13 : 308,976.65 = 123,294.13 : x
  2. Step 2: Convert to fraction form
    223,896.13/308,976.65 = 123,294.13/x
  3. Step 3: Cross multiply
    223,896.13x = 308,976.65 × 123,294.13
  4. Step 4: Simplify right side
    223,896.13x = 38,095,007,252.06
  5. Step 5: Solve for x
    x = 38,095,007,252.06/223,896.13
  6. Step 6: Final answer
    x = 170,145.89

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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.