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Finding the Fourth Proportional to 221,090.25, 305,106.71 and 120,490.41

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Solution

The fourth proportional to 221,090.25, 305,106.71 and 120,490.41 is: 166,277.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,090.25 : 305,106.71 = 120,490.41 : x
  2. Step 2: Convert to fraction form
    221,090.25/305,106.71 = 120,490.41/x
  3. Step 3: Cross multiply
    221,090.25x = 305,106.71 × 120,490.41
  4. Step 4: Simplify right side
    221,090.25x = 36,762,431,979.20
  5. Step 5: Solve for x
    x = 36,762,431,979.20/221,090.25
  6. Step 6: Final answer
    x = 166,277.94

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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.