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Finding the Fourth Proportional to 110,400.72, 164,752.03 and 109,769.22

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Solution

The fourth proportional to 110,400.72, 164,752.03 and 109,769.22 is: 163,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,400.72 : 164,752.03 = 109,769.22 : x
  2. Step 2: Convert to fraction form
    110,400.72/164,752.03 = 109,769.22/x
  3. Step 3: Cross multiply
    110,400.72x = 164,752.03 × 109,769.22
  4. Step 4: Simplify right side
    110,400.72x = 18,084,701,826.52
  5. Step 5: Solve for x
    x = 18,084,701,826.52/110,400.72
  6. Step 6: Final answer
    x = 163,809.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.