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Finding the Fourth Proportional to 106,817.78, 160,286.86 and 73,564.44

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Solution

The fourth proportional to 106,817.78, 160,286.86 and 73,564.44 is: 110,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,817.78 : 160,286.86 = 73,564.44 : x
  2. Step 2: Convert to fraction form
    106,817.78/160,286.86 = 73,564.44/x
  3. Step 3: Cross multiply
    106,817.78x = 160,286.86 × 73,564.44
  4. Step 4: Simplify right side
    106,817.78x = 11,791,413,095.26
  5. Step 5: Solve for x
    x = 11,791,413,095.26/106,817.78
  6. Step 6: Final answer
    x = 110,388.11

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1.5x scale

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.