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Finding the Fourth Proportional to 223,713.68, 308,724.70 and 123,111.68

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Solution

The fourth proportional to 223,713.68, 308,724.70 and 123,111.68 is: 169,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,713.68 : 308,724.70 = 123,111.68 : x
  2. Step 2: Convert to fraction form
    223,713.68/308,724.70 = 123,111.68/x
  3. Step 3: Cross multiply
    223,713.68x = 308,724.70 × 123,111.68
  4. Step 4: Simplify right side
    223,713.68x = 38,007,616,474.50
  5. Step 5: Solve for x
    x = 38,007,616,474.50/223,713.68
  6. Step 6: Final answer
    x = 169,894.02

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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.