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Finding the Fourth Proportional to 105,059.97, 144,982.67 and 57,313.19

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Solution

The fourth proportional to 105,059.97, 144,982.67 and 57,313.19 is: 79,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,059.97 : 144,982.67 = 57,313.19 : x
  2. Step 2: Convert to fraction form
    105,059.97/144,982.67 = 57,313.19/x
  3. Step 3: Cross multiply
    105,059.97x = 144,982.67 × 57,313.19
  4. Step 4: Simplify right side
    105,059.97x = 8,309,419,388.31
  5. Step 5: Solve for x
    x = 8,309,419,388.31/105,059.97
  6. Step 6: Final answer
    x = 79,092.15

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1.5x scale

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.