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Finding the Fourth Proportional to 131,384, 197,101.92 and 67,180.16

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Solution

The fourth proportional to 131,384, 197,101.92 and 67,180.16 is: 100,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,384 : 197,101.92 = 67,180.16 : x
  2. Step 2: Convert to fraction form
    131,384/197,101.92 = 67,180.16/x
  3. Step 3: Cross multiply
    131,384x = 197,101.92 × 67,180.16
  4. Step 4: Simplify right side
    131,384x = 13,241,338,521.91
  5. Step 5: Solve for x
    x = 13,241,338,521.91/131,384
  6. Step 6: Final answer
    x = 100,783.49

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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.