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Finding the Fourth Proportional to 197,959.20, 296,936.10 and 64,843.80

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Solution

The fourth proportional to 197,959.20, 296,936.10 and 64,843.80 is: 97,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,959.20 : 296,936.10 = 64,843.80 : x
  2. Step 2: Convert to fraction form
    197,959.20/296,936.10 = 64,843.80/x
  3. Step 3: Cross multiply
    197,959.20x = 296,936.10 × 64,843.80
  4. Step 4: Simplify right side
    197,959.20x = 19,254,465,081.18
  5. Step 5: Solve for x
    x = 19,254,465,081.18/197,959.20
  6. Step 6: Final answer
    x = 97,264.82

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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.