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Finding the Fourth Proportional to 110,648.80, 165,973.20 and 109,664.65

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Solution

The fourth proportional to 110,648.80, 165,973.20 and 109,664.65 is: 164,496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,648.80 : 165,973.20 = 109,664.65 : x
  2. Step 2: Convert to fraction form
    110,648.80/165,973.20 = 109,664.65/x
  3. Step 3: Cross multiply
    110,648.80x = 165,973.20 × 109,664.65
  4. Step 4: Simplify right side
    110,648.80x = 18,201,392,887.38
  5. Step 5: Solve for x
    x = 18,201,392,887.38/110,648.80
  6. Step 6: Final answer
    x = 164,496.98

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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.