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Finding the Fourth Proportional to 203,176.96, 304,765.44 and 55,434.24

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Solution

The fourth proportional to 203,176.96, 304,765.44 and 55,434.24 is: 83,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,176.96 : 304,765.44 = 55,434.24 : x
  2. Step 2: Convert to fraction form
    203,176.96/304,765.44 = 55,434.24/x
  3. Step 3: Cross multiply
    203,176.96x = 304,765.44 × 55,434.24
  4. Step 4: Simplify right side
    203,176.96x = 16,894,440,544.67
  5. Step 5: Solve for x
    x = 16,894,440,544.67/203,176.96
  6. Step 6: Final answer
    x = 83,151.36

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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.