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Finding the Fourth Proportional to 181,900.54, 272,759.31 and 106,023.46

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Solution

The fourth proportional to 181,900.54, 272,759.31 and 106,023.46 is: 158,981.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,900.54 : 272,759.31 = 106,023.46 : x
  2. Step 2: Convert to fraction form
    181,900.54/272,759.31 = 106,023.46/x
  3. Step 3: Cross multiply
    181,900.54x = 272,759.31 × 106,023.46
  4. Step 4: Simplify right side
    181,900.54x = 28,918,885,793.41
  5. Step 5: Solve for x
    x = 28,918,885,793.41/181,900.54
  6. Step 6: Final answer
    x = 158,981.86

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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.