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Finding the Fourth Proportional to 142,894.01, 197,148.38 and 82,456.67

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Solution

The fourth proportional to 142,894.01, 197,148.38 and 82,456.67 is: 113,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,894.01 : 197,148.38 = 82,456.67 : x
  2. Step 2: Convert to fraction form
    142,894.01/197,148.38 = 82,456.67/x
  3. Step 3: Cross multiply
    142,894.01x = 197,148.38 × 82,456.67
  4. Step 4: Simplify right side
    142,894.01x = 16,256,197,512.67
  5. Step 5: Solve for x
    x = 16,256,197,512.67/142,894.01
  6. Step 6: Final answer
    x = 113,764.03

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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.