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Finding the Fourth Proportional to 229,378.05, 344,067.12 and 71,620.02

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Solution

The fourth proportional to 229,378.05, 344,067.12 and 71,620.02 is: 107,430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,378.05 : 344,067.12 = 71,620.02 : x
  2. Step 2: Convert to fraction form
    229,378.05/344,067.12 = 71,620.02/x
  3. Step 3: Cross multiply
    229,378.05x = 344,067.12 × 71,620.02
  4. Step 4: Simplify right side
    229,378.05x = 24,642,094,015.74
  5. Step 5: Solve for x
    x = 24,642,094,015.74/229,378.05
  6. Step 6: Final answer
    x = 107,430.04

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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.