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Finding the Fourth Proportional to 97,847.73, 146,820.84 and 72,937.80

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Solution

The fourth proportional to 97,847.73, 146,820.84 and 72,937.80 is: 109,443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,847.73 : 146,820.84 = 72,937.80 : x
  2. Step 2: Convert to fraction form
    97,847.73/146,820.84 = 72,937.80/x
  3. Step 3: Cross multiply
    97,847.73x = 146,820.84 × 72,937.80
  4. Step 4: Simplify right side
    97,847.73x = 10,708,789,063.75
  5. Step 5: Solve for x
    x = 10,708,789,063.75/97,847.73
  6. Step 6: Final answer
    x = 109,443.41

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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.