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Finding the Fourth Proportional to 165,535.65, 228,507.82 and 111,893.33

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Solution

The fourth proportional to 165,535.65, 228,507.82 and 111,893.33 is: 154,459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,535.65 : 228,507.82 = 111,893.33 : x
  2. Step 2: Convert to fraction form
    165,535.65/228,507.82 = 111,893.33/x
  3. Step 3: Cross multiply
    165,535.65x = 228,507.82 × 111,893.33
  4. Step 4: Simplify right side
    165,535.65x = 25,568,501,202.38
  5. Step 5: Solve for x
    x = 25,568,501,202.38/165,535.65
  6. Step 6: Final answer
    x = 154,459.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.