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Finding the Fourth Proportional to 223,713.11, 308,724.14 and 123,111.11

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Solution

The fourth proportional to 223,713.11, 308,724.14 and 123,111.11 is: 169,893.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,713.11 : 308,724.14 = 123,111.11 : x
  2. Step 2: Convert to fraction form
    223,713.11/308,724.14 = 123,111.11/x
  3. Step 3: Cross multiply
    223,713.11x = 308,724.14 × 123,111.11
  4. Step 4: Simplify right side
    223,713.11x = 38,007,371,559.20
  5. Step 5: Solve for x
    x = 38,007,371,559.20/223,713.11
  6. Step 6: Final answer
    x = 169,893.36

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Why These Related Problems?

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