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Finding the Fourth Proportional to 130,794, 196,192.85 and 37,299.75

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Solution

The fourth proportional to 130,794, 196,192.85 and 37,299.75 is: 55,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,794 : 196,192.85 = 37,299.75 : x
  2. Step 2: Convert to fraction form
    130,794/196,192.85 = 37,299.75/x
  3. Step 3: Cross multiply
    130,794x = 196,192.85 × 37,299.75
  4. Step 4: Simplify right side
    130,794x = 7,317,944,070.29
  5. Step 5: Solve for x
    x = 7,317,944,070.29/130,794
  6. Step 6: Final answer
    x = 55,950.15

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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.