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Finding the Fourth Proportional to 174,478.73, 240,782.83 and 102,854.48

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Solution

The fourth proportional to 174,478.73, 240,782.83 and 102,854.48 is: 141,940.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,478.73 : 240,782.83 = 102,854.48 : x
  2. Step 2: Convert to fraction form
    174,478.73/240,782.83 = 102,854.48/x
  3. Step 3: Cross multiply
    174,478.73x = 240,782.83 × 102,854.48
  4. Step 4: Simplify right side
    174,478.73x = 24,765,591,311.53
  5. Step 5: Solve for x
    x = 24,765,591,311.53/174,478.73
  6. Step 6: Final answer
    x = 141,940.46

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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.