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Finding the Fourth Proportional to 223,891.32, 308,940.66 and 137,895.24

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Solution

The fourth proportional to 223,891.32, 308,940.66 and 137,895.24 is: 190,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,891.32 : 308,940.66 = 137,895.24 : x
  2. Step 2: Convert to fraction form
    223,891.32/308,940.66 = 137,895.24/x
  3. Step 3: Cross multiply
    223,891.32x = 308,940.66 × 137,895.24
  4. Step 4: Simplify right side
    223,891.32x = 42,601,446,456.46
  5. Step 5: Solve for x
    x = 42,601,446,456.46/223,891.32
  6. Step 6: Final answer
    x = 190,277.35

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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.