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Finding the Fourth Proportional to 165,832, 228,854.34 and 94,224.15

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Solution

The fourth proportional to 165,832, 228,854.34 and 94,224.15 is: 130,032.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,832 : 228,854.34 = 94,224.15 : x
  2. Step 2: Convert to fraction form
    165,832/228,854.34 = 94,224.15/x
  3. Step 3: Cross multiply
    165,832x = 228,854.34 × 94,224.15
  4. Step 4: Simplify right side
    165,832x = 21,563,605,660.31
  5. Step 5: Solve for x
    x = 21,563,605,660.31/165,832
  6. Step 6: Final answer
    x = 130,032.84

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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.