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Finding the Fourth Proportional to 103,816.48, 143,274 and 59,104.48

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Solution

The fourth proportional to 103,816.48, 143,274 and 59,104.48 is: 81,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,816.48 : 143,274 = 59,104.48 : x
  2. Step 2: Convert to fraction form
    103,816.48/143,274 = 59,104.48/x
  3. Step 3: Cross multiply
    103,816.48x = 143,274 × 59,104.48
  4. Step 4: Simplify right side
    103,816.48x = 8,468,135,267.52
  5. Step 5: Solve for x
    x = 8,468,135,267.52/103,816.48
  6. Step 6: Final answer
    x = 81,568.31

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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.