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Finding the Fourth Proportional to 165,760, 228,750.41 and 94,141.42

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Solution

The fourth proportional to 165,760, 228,750.41 and 94,141.42 is: 129,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,760 : 228,750.41 = 94,141.42 : x
  2. Step 2: Convert to fraction form
    165,760/228,750.41 = 94,141.42/x
  3. Step 3: Cross multiply
    165,760x = 228,750.41 × 94,141.42
  4. Step 4: Simplify right side
    165,760x = 21,534,888,422.98
  5. Step 5: Solve for x
    x = 21,534,888,422.98/165,760
  6. Step 6: Final answer
    x = 129,916.07

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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.