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Finding the Fourth Proportional to 72,196.67, 108,284.99 and 22,278.40

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Solution

The fourth proportional to 72,196.67, 108,284.99 and 22,278.40 is: 33,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,196.67 : 108,284.99 = 22,278.40 : x
  2. Step 2: Convert to fraction form
    72,196.67/108,284.99 = 22,278.40/x
  3. Step 3: Cross multiply
    72,196.67x = 108,284.99 × 22,278.40
  4. Step 4: Simplify right side
    72,196.67x = 2,412,415,939.11
  5. Step 5: Solve for x
    x = 2,412,415,939.11/72,196.67
  6. Step 6: Final answer
    x = 33,414.50

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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.