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Finding the Fourth Proportional to 130,894.20, 196,283.70 and 51,982.20

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Solution

The fourth proportional to 130,894.20, 196,283.70 and 51,982.20 is: 77,950.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,894.20 : 196,283.70 = 51,982.20 : x
  2. Step 2: Convert to fraction form
    130,894.20/196,283.70 = 51,982.20/x
  3. Step 3: Cross multiply
    130,894.20x = 196,283.70 × 51,982.20
  4. Step 4: Simplify right side
    130,894.20x = 10,203,258,550.14
  5. Step 5: Solve for x
    x = 10,203,258,550.14/130,894.20
  6. Step 6: Final answer
    x = 77,950.43

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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.