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Finding the Fourth Proportional to 98,092.20, 146,987.10 and 73,014.60

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Solution

The fourth proportional to 98,092.20, 146,987.10 and 73,014.60 is: 109,409.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,092.20 : 146,987.10 = 73,014.60 : x
  2. Step 2: Convert to fraction form
    98,092.20/146,987.10 = 73,014.60/x
  3. Step 3: Cross multiply
    98,092.20x = 146,987.10 × 73,014.60
  4. Step 4: Simplify right side
    98,092.20x = 10,732,204,311.66
  5. Step 5: Solve for x
    x = 10,732,204,311.66/98,092.20
  6. Step 6: Final answer
    x = 109,409.35

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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.