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Finding the Fourth Proportional to 142,289.38, 196,392.08 and 81,894.90

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Solution

The fourth proportional to 142,289.38, 196,392.08 and 81,894.90 is: 113,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,289.38 : 196,392.08 = 81,894.90 : x
  2. Step 2: Convert to fraction form
    142,289.38/196,392.08 = 81,894.90/x
  3. Step 3: Cross multiply
    142,289.38x = 196,392.08 × 81,894.90
  4. Step 4: Simplify right side
    142,289.38x = 16,083,509,342.92
  5. Step 5: Solve for x
    x = 16,083,509,342.92/142,289.38
  6. Step 6: Final answer
    x = 113,033.80

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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.