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Finding the Fourth Proportional to 131,468.74, 197,203.11 and 120,063.94

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Solution

The fourth proportional to 131,468.74, 197,203.11 and 120,063.94 is: 180,095.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,468.74 : 197,203.11 = 120,063.94 : x
  2. Step 2: Convert to fraction form
    131,468.74/197,203.11 = 120,063.94/x
  3. Step 3: Cross multiply
    131,468.74x = 197,203.11 × 120,063.94
  4. Step 4: Simplify right side
    131,468.74x = 23,676,982,366.85
  5. Step 5: Solve for x
    x = 23,676,982,366.85/131,468.74
  6. Step 6: Final answer
    x = 180,095.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.