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Finding the Fourth Proportional to 116,906.16, 175,385.20 and 54,542.64

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Solution

The fourth proportional to 116,906.16, 175,385.20 and 54,542.64 is: 81,826.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,906.16 : 175,385.20 = 54,542.64 : x
  2. Step 2: Convert to fraction form
    116,906.16/175,385.20 = 54,542.64/x
  3. Step 3: Cross multiply
    116,906.16x = 175,385.20 × 54,542.64
  4. Step 4: Simplify right side
    116,906.16x = 9,565,971,824.93
  5. Step 5: Solve for x
    x = 9,565,971,824.93/116,906.16
  6. Step 6: Final answer
    x = 81,826.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.