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Finding the Fourth Proportional to 104,388.69, 144,093.75 and 61,947.22

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Solution

The fourth proportional to 104,388.69, 144,093.75 and 61,947.22 is: 85,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,388.69 : 144,093.75 = 61,947.22 : x
  2. Step 2: Convert to fraction form
    104,388.69/144,093.75 = 61,947.22/x
  3. Step 3: Cross multiply
    104,388.69x = 144,093.75 × 61,947.22
  4. Step 4: Simplify right side
    104,388.69x = 8,926,207,231.88
  5. Step 5: Solve for x
    x = 8,926,207,231.88/104,388.69
  6. Step 6: Final answer
    x = 85,509.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.