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Finding the Fourth Proportional to 160,638.42, 221,682.32 and 89,019.64

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Solution

The fourth proportional to 160,638.42, 221,682.32 and 89,019.64 is: 122,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,638.42 : 221,682.32 = 89,019.64 : x
  2. Step 2: Convert to fraction form
    160,638.42/221,682.32 = 89,019.64/x
  3. Step 3: Cross multiply
    160,638.42x = 221,682.32 × 89,019.64
  4. Step 4: Simplify right side
    160,638.42x = 19,734,080,320.76
  5. Step 5: Solve for x
    x = 19,734,080,320.76/160,638.42
  6. Step 6: Final answer
    x = 122,847.82

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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.