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Finding the Fourth Proportional to 187,308.26, 280,962.64 and 76,500.26

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Solution

The fourth proportional to 187,308.26, 280,962.64 and 76,500.26 is: 114,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,308.26 : 280,962.64 = 76,500.26 : x
  2. Step 2: Convert to fraction form
    187,308.26/280,962.64 = 76,500.26/x
  3. Step 3: Cross multiply
    187,308.26x = 280,962.64 × 76,500.26
  4. Step 4: Simplify right side
    187,308.26x = 21,493,715,010.29
  5. Step 5: Solve for x
    x = 21,493,715,010.29/187,308.26
  6. Step 6: Final answer
    x = 114,750.49

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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.