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Finding the Fourth Proportional to 229,857.20, 344,008.20 and 201,863.60

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Solution

The fourth proportional to 229,857.20, 344,008.20 and 201,863.60 is: 302,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,857.20 : 344,008.20 = 201,863.60 : x
  2. Step 2: Convert to fraction form
    229,857.20/344,008.20 = 201,863.60/x
  3. Step 3: Cross multiply
    229,857.20x = 344,008.20 × 201,863.60
  4. Step 4: Simplify right side
    229,857.20x = 69,442,733,681.52
  5. Step 5: Solve for x
    x = 69,442,733,681.52/229,857.20
  6. Step 6: Final answer
    x = 302,112.50

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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.