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Finding the Fourth Proportional to 116,204.52, 174,306.78 and 81,212.52

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Solution

The fourth proportional to 116,204.52, 174,306.78 and 81,212.52 is: 121,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,204.52 : 174,306.78 = 81,212.52 : x
  2. Step 2: Convert to fraction form
    116,204.52/174,306.78 = 81,212.52/x
  3. Step 3: Cross multiply
    116,204.52x = 174,306.78 × 81,212.52
  4. Step 4: Simplify right side
    116,204.52x = 14,155,892,856.89
  5. Step 5: Solve for x
    x = 14,155,892,856.89/116,204.52
  6. Step 6: Final answer
    x = 121,818.78

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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.