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Finding the Fourth Proportional to 165,100.56, 228,026.16 and 111,292.80

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Solution

The fourth proportional to 165,100.56, 228,026.16 and 111,292.80 is: 153,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,100.56 : 228,026.16 = 111,292.80 : x
  2. Step 2: Convert to fraction form
    165,100.56/228,026.16 = 111,292.80/x
  3. Step 3: Cross multiply
    165,100.56x = 228,026.16 × 111,292.80
  4. Step 4: Simplify right side
    165,100.56x = 25,377,669,819.65
  5. Step 5: Solve for x
    x = 25,377,669,819.65/165,100.56
  6. Step 6: Final answer
    x = 153,710.38

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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.