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Finding the Fourth Proportional to 195,754.50, 293,631.84 and 84,946.50

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Solution

The fourth proportional to 195,754.50, 293,631.84 and 84,946.50 is: 127,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,754.50 : 293,631.84 = 84,946.50 : x
  2. Step 2: Convert to fraction form
    195,754.50/293,631.84 = 84,946.50/x
  3. Step 3: Cross multiply
    195,754.50x = 293,631.84 × 84,946.50
  4. Step 4: Simplify right side
    195,754.50x = 24,942,997,096.56
  5. Step 5: Solve for x
    x = 24,942,997,096.56/195,754.50
  6. Step 6: Final answer
    x = 127,419.79

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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.