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Finding the Fourth Proportional to 105,040.92, 144,958.43 and 57,295.98

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Solution

The fourth proportional to 105,040.92, 144,958.43 and 57,295.98 is: 79,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,040.92 : 144,958.43 = 57,295.98 : x
  2. Step 2: Convert to fraction form
    105,040.92/144,958.43 = 57,295.98/x
  3. Step 3: Cross multiply
    105,040.92x = 144,958.43 × 57,295.98
  4. Step 4: Simplify right side
    105,040.92x = 8,305,535,019.63
  5. Step 5: Solve for x
    x = 8,305,535,019.63/105,040.92
  6. Step 6: Final answer
    x = 79,069.52

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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.