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Finding the Fourth Proportional to 146,816.46, 220,257.52 and 46,982.66

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Solution

The fourth proportional to 146,816.46, 220,257.52 and 46,982.66 is: 70,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,816.46 : 220,257.52 = 46,982.66 : x
  2. Step 2: Convert to fraction form
    146,816.46/220,257.52 = 46,982.66/x
  3. Step 3: Cross multiply
    146,816.46x = 220,257.52 × 46,982.66
  4. Step 4: Simplify right side
    146,816.46x = 10,348,284,174.60
  5. Step 5: Solve for x
    x = 10,348,284,174.60/146,816.46
  6. Step 6: Final answer
    x = 70,484.50

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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.