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Finding the Fourth Proportional to 115,863.08, 159,808.47 and 106,333.84

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Solution

The fourth proportional to 115,863.08, 159,808.47 and 106,333.84 is: 146,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,863.08 : 159,808.47 = 106,333.84 : x
  2. Step 2: Convert to fraction form
    115,863.08/159,808.47 = 106,333.84/x
  3. Step 3: Cross multiply
    115,863.08x = 159,808.47 × 106,333.84
  4. Step 4: Simplify right side
    115,863.08x = 16,993,048,279.62
  5. Step 5: Solve for x
    x = 16,993,048,279.62/115,863.08
  6. Step 6: Final answer
    x = 146,664.91

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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.