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Finding the Fourth Proportional to 288,732.96, 433,164.96 and 131,006.52

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Solution

The fourth proportional to 288,732.96, 433,164.96 and 131,006.52 is: 196,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,732.96 : 433,164.96 = 131,006.52 : x
  2. Step 2: Convert to fraction form
    288,732.96/433,164.96 = 131,006.52/x
  3. Step 3: Cross multiply
    288,732.96x = 433,164.96 × 131,006.52
  4. Step 4: Simplify right side
    288,732.96x = 56,747,433,995.54
  5. Step 5: Solve for x
    x = 56,747,433,995.54/288,732.96
  6. Step 6: Final answer
    x = 196,539.51

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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.