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Finding the Fourth Proportional to 146,854.49, 220,281.94 and 36,046.49

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Solution

The fourth proportional to 146,854.49, 220,281.94 and 36,046.49 is: 54,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,854.49 : 220,281.94 = 36,046.49 : x
  2. Step 2: Convert to fraction form
    146,854.49/220,281.94 = 36,046.49/x
  3. Step 3: Cross multiply
    146,854.49x = 220,281.94 × 36,046.49
  4. Step 4: Simplify right side
    146,854.49x = 7,940,389,555.86
  5. Step 5: Solve for x
    x = 7,940,389,555.86/146,854.49
  6. Step 6: Final answer
    x = 54,069.78

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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.