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Finding the Fourth Proportional to 146,014.97, 218,989.42 and 67,053.29

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Solution

The fourth proportional to 146,014.97, 218,989.42 and 67,053.29 is: 100,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,014.97 : 218,989.42 = 67,053.29 : x
  2. Step 2: Convert to fraction form
    146,014.97/218,989.42 = 67,053.29/x
  3. Step 3: Cross multiply
    146,014.97x = 218,989.42 × 67,053.29
  4. Step 4: Simplify right side
    146,014.97x = 14,683,959,823.61
  5. Step 5: Solve for x
    x = 14,683,959,823.61/146,014.97
  6. Step 6: Final answer
    x = 100,564.76

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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.