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Finding the Fourth Proportional to 175,801.49, 263,709.52 and 51,142.49

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Solution

The fourth proportional to 175,801.49, 263,709.52 and 51,142.49 is: 76,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,801.49 : 263,709.52 = 51,142.49 : x
  2. Step 2: Convert to fraction form
    175,801.49/263,709.52 = 51,142.49/x
  3. Step 3: Cross multiply
    175,801.49x = 263,709.52 × 51,142.49
  4. Step 4: Simplify right side
    175,801.49x = 13,486,761,489.50
  5. Step 5: Solve for x
    x = 13,486,761,489.50/175,801.49
  6. Step 6: Final answer
    x = 76,715.85

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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.