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Finding the Fourth Proportional to 127,981.80, 191,972.70 and 61,410.60

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Solution

The fourth proportional to 127,981.80, 191,972.70 and 61,410.60 is: 92,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,981.80 : 191,972.70 = 61,410.60 : x
  2. Step 2: Convert to fraction form
    127,981.80/191,972.70 = 61,410.60/x
  3. Step 3: Cross multiply
    127,981.80x = 191,972.70 × 61,410.60
  4. Step 4: Simplify right side
    127,981.80x = 11,789,158,690.62
  5. Step 5: Solve for x
    x = 11,789,158,690.62/127,981.80
  6. Step 6: Final answer
    x = 92,115.90

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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.