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Finding the Fourth Proportional to 229,715.20, 343,881.60 and 202,067.20

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Solution

The fourth proportional to 229,715.20, 343,881.60 and 202,067.20 is: 302,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,715.20 : 343,881.60 = 202,067.20 : x
  2. Step 2: Convert to fraction form
    229,715.20/343,881.60 = 202,067.20/x
  3. Step 3: Cross multiply
    229,715.20x = 343,881.60 × 202,067.20
  4. Step 4: Simplify right side
    229,715.20x = 69,487,192,043.52
  5. Step 5: Solve for x
    x = 69,487,192,043.52/229,715.20
  6. Step 6: Final answer
    x = 302,492.79

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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.