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Finding the Fourth Proportional to 109,933.80, 164,900.70 and 97,249.20

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Solution

The fourth proportional to 109,933.80, 164,900.70 and 97,249.20 is: 145,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,933.80 : 164,900.70 = 97,249.20 : x
  2. Step 2: Convert to fraction form
    109,933.80/164,900.70 = 97,249.20/x
  3. Step 3: Cross multiply
    109,933.80x = 164,900.70 × 97,249.20
  4. Step 4: Simplify right side
    109,933.80x = 16,036,461,154.44
  5. Step 5: Solve for x
    x = 16,036,461,154.44/109,933.80
  6. Step 6: Final answer
    x = 145,873.80

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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.