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Finding the Fourth Proportional to 221,018.64, 304,764.37 and 149,274.11

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Solution

The fourth proportional to 221,018.64, 304,764.37 and 149,274.11 is: 205,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,018.64 : 304,764.37 = 149,274.11 : x
  2. Step 2: Convert to fraction form
    221,018.64/304,764.37 = 149,274.11/x
  3. Step 3: Cross multiply
    221,018.64x = 304,764.37 × 149,274.11
  4. Step 4: Simplify right side
    221,018.64x = 45,493,430,091.46
  5. Step 5: Solve for x
    x = 45,493,430,091.46/221,018.64
  6. Step 6: Final answer
    x = 205,835.26

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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.