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Finding the Fourth Proportional to 110,322.92, 165,484.37 and 77,107.85

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Solution

The fourth proportional to 110,322.92, 165,484.37 and 77,107.85 is: 115,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,322.92 : 165,484.37 = 77,107.85 : x
  2. Step 2: Convert to fraction form
    110,322.92/165,484.37 = 77,107.85/x
  3. Step 3: Cross multiply
    110,322.92x = 165,484.37 × 77,107.85
  4. Step 4: Simplify right side
    110,322.92x = 12,760,144,896.07
  5. Step 5: Solve for x
    x = 12,760,144,896.07/110,322.92
  6. Step 6: Final answer
    x = 115,661.78

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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.