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Finding the Fourth Proportional to 130,806, 196,210.85 and 37,311.75

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Solution

The fourth proportional to 130,806, 196,210.85 and 37,311.75 is: 55,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,806 : 196,210.85 = 37,311.75 : x
  2. Step 2: Convert to fraction form
    130,806/196,210.85 = 37,311.75/x
  3. Step 3: Cross multiply
    130,806x = 196,210.85 × 37,311.75
  4. Step 4: Simplify right side
    130,806x = 7,320,969,995.93
  5. Step 5: Solve for x
    x = 7,320,969,995.93/130,806
  6. Step 6: Final answer
    x = 55,968.15

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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.