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Finding the Fourth Proportional to 223,826.40, 335,642.40 and 74,008.80

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Solution

The fourth proportional to 223,826.40, 335,642.40 and 74,008.80 is: 110,981.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,826.40 : 335,642.40 = 74,008.80 : x
  2. Step 2: Convert to fraction form
    223,826.40/335,642.40 = 74,008.80/x
  3. Step 3: Cross multiply
    223,826.40x = 335,642.40 × 74,008.80
  4. Step 4: Simplify right side
    223,826.40x = 24,840,491,253.12
  5. Step 5: Solve for x
    x = 24,840,491,253.12/223,826.40
  6. Step 6: Final answer
    x = 110,981.06

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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.