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Finding the Fourth Proportional to 130,793.50, 196,192.10 and 37,299.25

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Solution

The fourth proportional to 130,793.50, 196,192.10 and 37,299.25 is: 55,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,793.50 : 196,192.10 = 37,299.25 : x
  2. Step 2: Convert to fraction form
    130,793.50/196,192.10 = 37,299.25/x
  3. Step 3: Cross multiply
    130,793.50x = 196,192.10 × 37,299.25
  4. Step 4: Simplify right side
    130,793.50x = 7,317,818,185.93
  5. Step 5: Solve for x
    x = 7,317,818,185.93/130,793.50
  6. Step 6: Final answer
    x = 55,949.40

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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.