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Finding the Fourth Proportional to 159,772.73, 220,434.86 and 106,068.11

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Solution

The fourth proportional to 159,772.73, 220,434.86 and 106,068.11 is: 146,339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,772.73 : 220,434.86 = 106,068.11 : x
  2. Step 2: Convert to fraction form
    159,772.73/220,434.86 = 106,068.11/x
  3. Step 3: Cross multiply
    159,772.73x = 220,434.86 × 106,068.11
  4. Step 4: Simplify right side
    159,772.73x = 23,381,107,345.80
  5. Step 5: Solve for x
    x = 23,381,107,345.80/159,772.73
  6. Step 6: Final answer
    x = 146,339.79

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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.