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Finding the Fourth Proportional to 160,728.72, 221,811 and 89,104.47

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Solution

The fourth proportional to 160,728.72, 221,811 and 89,104.47 is: 122,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,728.72 : 221,811 = 89,104.47 : x
  2. Step 2: Convert to fraction form
    160,728.72/221,811 = 89,104.47/x
  3. Step 3: Cross multiply
    160,728.72x = 221,811 × 89,104.47
  4. Step 4: Simplify right side
    160,728.72x = 19,764,351,595.17
  5. Step 5: Solve for x
    x = 19,764,351,595.17/160,728.72
  6. Step 6: Final answer
    x = 122,967.14

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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.