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Finding the Fourth Proportional to 110,814.92, 165,803.16 and 67,967.36

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Solution

The fourth proportional to 110,814.92, 165,803.16 and 67,967.36 is: 101,693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,814.92 : 165,803.16 = 67,967.36 : x
  2. Step 2: Convert to fraction form
    110,814.92/165,803.16 = 67,967.36/x
  3. Step 3: Cross multiply
    110,814.92x = 165,803.16 × 67,967.36
  4. Step 4: Simplify right side
    110,814.92x = 11,269,203,064.86
  5. Step 5: Solve for x
    x = 11,269,203,064.86/110,814.92
  6. Step 6: Final answer
    x = 101,693.92

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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.