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Finding the Fourth Proportional to 160,644.64, 221,690.18 and 89,025.88

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Solution

The fourth proportional to 160,644.64, 221,690.18 and 89,025.88 is: 122,856.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,644.64 : 221,690.18 = 89,025.88 : x
  2. Step 2: Convert to fraction form
    160,644.64/221,690.18 = 89,025.88/x
  3. Step 3: Cross multiply
    160,644.64x = 221,690.18 × 89,025.88
  4. Step 4: Simplify right side
    160,644.64x = 19,736,163,361.86
  5. Step 5: Solve for x
    x = 19,736,163,361.86/160,644.64
  6. Step 6: Final answer
    x = 122,856.03

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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.