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Finding the Fourth Proportional to 160,540.94, 221,695.41 and 120,184.63

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Solution

The fourth proportional to 160,540.94, 221,695.41 and 120,184.63 is: 165,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,540.94 : 221,695.41 = 120,184.63 : x
  2. Step 2: Convert to fraction form
    160,540.94/221,695.41 = 120,184.63/x
  3. Step 3: Cross multiply
    160,540.94x = 221,695.41 × 120,184.63
  4. Step 4: Simplify right side
    160,540.94x = 26,644,380,720.00
  5. Step 5: Solve for x
    x = 26,644,380,720.00/160,540.94
  6. Step 6: Final answer
    x = 165,966.27

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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.