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Finding the Fourth Proportional to 142,238.81, 196,295.19 and 81,809.38

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Solution

The fourth proportional to 142,238.81, 196,295.19 and 81,809.38 is: 112,900.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,238.81 : 196,295.19 = 81,809.38 : x
  2. Step 2: Convert to fraction form
    142,238.81/196,295.19 = 81,809.38/x
  3. Step 3: Cross multiply
    142,238.81x = 196,295.19 × 81,809.38
  4. Step 4: Simplify right side
    142,238.81x = 16,058,787,790.88
  5. Step 5: Solve for x
    x = 16,058,787,790.88/142,238.81
  6. Step 6: Final answer
    x = 112,900.18

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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.