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Finding the Fourth Proportional to 228,536.92, 342,935 and 123,353.56

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Solution

The fourth proportional to 228,536.92, 342,935 and 123,353.56 is: 185,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,536.92 : 342,935 = 123,353.56 : x
  2. Step 2: Convert to fraction form
    228,536.92/342,935 = 123,353.56/x
  3. Step 3: Cross multiply
    228,536.92x = 342,935 × 123,353.56
  4. Step 4: Simplify right side
    228,536.92x = 42,302,253,098.60
  5. Step 5: Solve for x
    x = 42,302,253,098.60/228,536.92
  6. Step 6: Final answer
    x = 185,100.30

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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.