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Finding the Fourth Proportional to 223,427.75, 308,328.12 and 166,322.43

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Solution

The fourth proportional to 223,427.75, 308,328.12 and 166,322.43 is: 229,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,427.75 : 308,328.12 = 166,322.43 : x
  2. Step 2: Convert to fraction form
    223,427.75/308,328.12 = 166,322.43/x
  3. Step 3: Cross multiply
    223,427.75x = 308,328.12 × 166,322.43
  4. Step 4: Simplify right side
    223,427.75x = 51,281,882,155.73
  5. Step 5: Solve for x
    x = 51,281,882,155.73/223,427.75
  6. Step 6: Final answer
    x = 229,523.34

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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.