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Finding the Fourth Proportional to 165,843.66, 228,896.91 and 115,513.50

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Solution

The fourth proportional to 165,843.66, 228,896.91 and 115,513.50 is: 159,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,843.66 : 228,896.91 = 115,513.50 : x
  2. Step 2: Convert to fraction form
    165,843.66/228,896.91 = 115,513.50/x
  3. Step 3: Cross multiply
    165,843.66x = 228,896.91 × 115,513.50
  4. Step 4: Simplify right side
    165,843.66x = 26,440,683,213.29
  5. Step 5: Solve for x
    x = 26,440,683,213.29/165,843.66
  6. Step 6: Final answer
    x = 159,431.38

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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.