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Finding the Fourth Proportional to 160,497.32, 221,557.83 and 106,082.27

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Solution

The fourth proportional to 160,497.32, 221,557.83 and 106,082.27 is: 146,440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,497.32 : 221,557.83 = 106,082.27 : x
  2. Step 2: Convert to fraction form
    160,497.32/221,557.83 = 106,082.27/x
  3. Step 3: Cross multiply
    160,497.32x = 221,557.83 × 106,082.27
  4. Step 4: Simplify right side
    160,497.32x = 23,503,357,542.67
  5. Step 5: Solve for x
    x = 23,503,357,542.67/160,497.32
  6. Step 6: Final answer
    x = 146,440.81

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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.