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Finding the Fourth Proportional to 203,076.48, 304,615.20 and 55,332.48

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Solution

The fourth proportional to 203,076.48, 304,615.20 and 55,332.48 is: 82,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,076.48 : 304,615.20 = 55,332.48 : x
  2. Step 2: Convert to fraction form
    203,076.48/304,615.20 = 55,332.48/x
  3. Step 3: Cross multiply
    203,076.48x = 304,615.20 × 55,332.48
  4. Step 4: Simplify right side
    203,076.48x = 16,855,114,461.70
  5. Step 5: Solve for x
    x = 16,855,114,461.70/203,076.48
  6. Step 6: Final answer
    x = 82,998.85

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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.