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Finding the Fourth Proportional to 159,773.73, 220,436.23 and 106,069.11

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Solution

The fourth proportional to 159,773.73, 220,436.23 and 106,069.11 is: 146,341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,773.73 : 220,436.23 = 106,069.11 : x
  2. Step 2: Convert to fraction form
    159,773.73/220,436.23 = 106,069.11/x
  3. Step 3: Cross multiply
    159,773.73x = 220,436.23 × 106,069.11
  4. Step 4: Simplify right side
    159,773.73x = 23,381,474,727.86
  5. Step 5: Solve for x
    x = 23,381,474,727.86/159,773.73
  6. Step 6: Final answer
    x = 146,341.17

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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.