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Finding the Fourth Proportional to 165,796.62, 228,803.13 and 97,830.24

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Solution

The fourth proportional to 165,796.62, 228,803.13 and 97,830.24 is: 135,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,796.62 : 228,803.13 = 97,830.24 : x
  2. Step 2: Convert to fraction form
    165,796.62/228,803.13 = 97,830.24/x
  3. Step 3: Cross multiply
    165,796.62x = 228,803.13 × 97,830.24
  4. Step 4: Simplify right side
    165,796.62x = 22,383,865,120.65
  5. Step 5: Solve for x
    x = 22,383,865,120.65/165,796.62
  6. Step 6: Final answer
    x = 135,007.97

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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.