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Finding the Fourth Proportional to 106,993.72, 160,438.74 and 53,662.78

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Solution

The fourth proportional to 106,993.72, 160,438.74 and 53,662.78 is: 80,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,993.72 : 160,438.74 = 53,662.78 : x
  2. Step 2: Convert to fraction form
    106,993.72/160,438.74 = 53,662.78/x
  3. Step 3: Cross multiply
    106,993.72x = 160,438.74 × 53,662.78
  4. Step 4: Simplify right side
    106,993.72x = 8,609,588,808.10
  5. Step 5: Solve for x
    x = 8,609,588,808.10/106,993.72
  6. Step 6: Final answer
    x = 80,468.17

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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.