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Finding the Fourth Proportional to 142,336.84, 196,440.82 and 85,747

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Solution

The fourth proportional to 142,336.84, 196,440.82 and 85,747 is: 118,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,336.84 : 196,440.82 = 85,747 : x
  2. Step 2: Convert to fraction form
    142,336.84/196,440.82 = 85,747/x
  3. Step 3: Cross multiply
    142,336.84x = 196,440.82 × 85,747
  4. Step 4: Simplify right side
    142,336.84x = 16,844,210,992.54
  5. Step 5: Solve for x
    x = 16,844,210,992.54/142,336.84
  6. Step 6: Final answer
    x = 118,340.49

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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.