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Finding the Fourth Proportional to 106,475.70, 159,494.85 and 73,233.30

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Solution

The fourth proportional to 106,475.70, 159,494.85 and 73,233.30 is: 109,699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,475.70 : 159,494.85 = 73,233.30 : x
  2. Step 2: Convert to fraction form
    106,475.70/159,494.85 = 73,233.30/x
  3. Step 3: Cross multiply
    106,475.70x = 159,494.85 × 73,233.30
  4. Step 4: Simplify right side
    106,475.70x = 11,680,334,198.51
  5. Step 5: Solve for x
    x = 11,680,334,198.51/106,475.70
  6. Step 6: Final answer
    x = 109,699.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.