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Finding the Fourth Proportional to 165,857.89, 228,703.01 and 112,049.48

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Solution

The fourth proportional to 165,857.89, 228,703.01 and 112,049.48 is: 154,506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,857.89 : 228,703.01 = 112,049.48 : x
  2. Step 2: Convert to fraction form
    165,857.89/228,703.01 = 112,049.48/x
  3. Step 3: Cross multiply
    165,857.89x = 228,703.01 × 112,049.48
  4. Step 4: Simplify right side
    165,857.89x = 25,626,053,344.93
  5. Step 5: Solve for x
    x = 25,626,053,344.93/165,857.89
  6. Step 6: Final answer
    x = 154,506.09

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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.