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Finding the Fourth Proportional to 131,209.60, 196,612.80 and 97,772.80

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Solution

The fourth proportional to 131,209.60, 196,612.80 and 97,772.80 is: 146,508.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,209.60 : 196,612.80 = 97,772.80 : x
  2. Step 2: Convert to fraction form
    131,209.60/196,612.80 = 97,772.80/x
  3. Step 3: Cross multiply
    131,209.60x = 196,612.80 × 97,772.80
  4. Step 4: Simplify right side
    131,209.60x = 19,223,383,971.84
  5. Step 5: Solve for x
    x = 19,223,383,971.84/131,209.60
  6. Step 6: Final answer
    x = 146,508.97

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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.