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Finding the Fourth Proportional to 109,937.80, 164,906.70 and 97,253.20

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Solution

The fourth proportional to 109,937.80, 164,906.70 and 97,253.20 is: 145,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,937.80 : 164,906.70 = 97,253.20 : x
  2. Step 2: Convert to fraction form
    109,937.80/164,906.70 = 97,253.20/x
  3. Step 3: Cross multiply
    109,937.80x = 164,906.70 × 97,253.20
  4. Step 4: Simplify right side
    109,937.80x = 16,037,704,276.44
  5. Step 5: Solve for x
    x = 16,037,704,276.44/109,937.80
  6. Step 6: Final answer
    x = 145,879.80

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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.