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Finding the Fourth Proportional to 221,044.08, 305,043.12 and 120,442.08

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Solution

The fourth proportional to 221,044.08, 305,043.12 and 120,442.08 is: 166,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,044.08 : 305,043.12 = 120,442.08 : x
  2. Step 2: Convert to fraction form
    221,044.08/305,043.12 = 120,442.08/x
  3. Step 3: Cross multiply
    221,044.08x = 305,043.12 × 120,442.08
  4. Step 4: Simplify right side
    221,044.08x = 36,740,027,862.49
  5. Step 5: Solve for x
    x = 36,740,027,862.49/221,044.08
  6. Step 6: Final answer
    x = 166,211.32

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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.