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Finding the Fourth Proportional to 146,735.40, 220,103.10 and 71,867.10

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Solution

The fourth proportional to 146,735.40, 220,103.10 and 71,867.10 is: 107,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,735.40 : 220,103.10 = 71,867.10 : x
  2. Step 2: Convert to fraction form
    146,735.40/220,103.10 = 71,867.10/x
  3. Step 3: Cross multiply
    146,735.40x = 220,103.10 × 71,867.10
  4. Step 4: Simplify right side
    146,735.40x = 15,818,171,498.01
  5. Step 5: Solve for x
    x = 15,818,171,498.01/146,735.40
  6. Step 6: Final answer
    x = 107,800.65

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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.