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Finding the Fourth Proportional to 283,873.71, 425,793.86 and 106,365.86

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Solution

The fourth proportional to 283,873.71, 425,793.86 and 106,365.86 is: 159,542.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,873.71 : 425,793.86 = 106,365.86 : x
  2. Step 2: Convert to fraction form
    283,873.71/425,793.86 = 106,365.86/x
  3. Step 3: Cross multiply
    283,873.71x = 425,793.86 × 106,365.86
  4. Step 4: Simplify right side
    283,873.71x = 45,289,927,440.82
  5. Step 5: Solve for x
    x = 45,289,927,440.82/283,873.71
  6. Step 6: Final answer
    x = 159,542.52

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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.