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Finding the Fourth Proportional to 165,961.91, 228,993.09 and 97,038.11

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Solution

The fourth proportional to 165,961.91, 228,993.09 and 97,038.11 is: 133,892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,961.91 : 228,993.09 = 97,038.11 : x
  2. Step 2: Convert to fraction form
    165,961.91/228,993.09 = 97,038.11/x
  3. Step 3: Cross multiply
    165,961.91x = 228,993.09 × 97,038.11
  4. Step 4: Simplify right side
    165,961.91x = 22,221,056,656.66
  5. Step 5: Solve for x
    x = 22,221,056,656.66/165,961.91
  6. Step 6: Final answer
    x = 133,892.51

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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.