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Finding the Fourth Proportional to 106,998.37, 160,388.20 and 69,633.47

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Solution

The fourth proportional to 106,998.37, 160,388.20 and 69,633.47 is: 104,379.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,998.37 : 160,388.20 = 69,633.47 : x
  2. Step 2: Convert to fraction form
    106,998.37/160,388.20 = 69,633.47/x
  3. Step 3: Cross multiply
    106,998.37x = 160,388.20 × 69,633.47
  4. Step 4: Simplify right side
    106,998.37x = 11,168,387,401.07
  5. Step 5: Solve for x
    x = 11,168,387,401.07/106,998.37
  6. Step 6: Final answer
    x = 104,379.04

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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.