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Finding the Fourth Proportional to 180,265.78, 270,207.98 and 67,897.37

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Solution

The fourth proportional to 180,265.78, 270,207.98 and 67,897.37 is: 101,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,265.78 : 270,207.98 = 67,897.37 : x
  2. Step 2: Convert to fraction form
    180,265.78/270,207.98 = 67,897.37/x
  3. Step 3: Cross multiply
    180,265.78x = 270,207.98 × 67,897.37
  4. Step 4: Simplify right side
    180,265.78x = 18,346,412,040.28
  5. Step 5: Solve for x
    x = 18,346,412,040.28/180,265.78
  6. Step 6: Final answer
    x = 101,774.24

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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.