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Finding the Fourth Proportional to 127,073.67, 190,578.51 and 52,214.49

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Solution

The fourth proportional to 127,073.67, 190,578.51 and 52,214.49 is: 78,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,073.67 : 190,578.51 = 52,214.49 : x
  2. Step 2: Convert to fraction form
    127,073.67/190,578.51 = 52,214.49/x
  3. Step 3: Cross multiply
    127,073.67x = 190,578.51 × 52,214.49
  4. Step 4: Simplify right side
    127,073.67x = 9,950,959,704.61
  5. Step 5: Solve for x
    x = 9,950,959,704.61/127,073.67
  6. Step 6: Final answer
    x = 78,308.59

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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.