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Finding the Fourth Proportional to 221,019.64, 304,765.75 and 149,275.11

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Solution

The fourth proportional to 221,019.64, 304,765.75 and 149,275.11 is: 205,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,019.64 : 304,765.75 = 149,275.11 : x
  2. Step 2: Convert to fraction form
    221,019.64/304,765.75 = 149,275.11/x
  3. Step 3: Cross multiply
    221,019.64x = 304,765.75 × 149,275.11
  4. Step 4: Simplify right side
    221,019.64x = 45,493,940,855.48
  5. Step 5: Solve for x
    x = 45,493,940,855.48/221,019.64
  6. Step 6: Final answer
    x = 205,836.64

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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.