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Finding the Fourth Proportional to 200,976.54, 301,253.13 and 67,730.46

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Solution

The fourth proportional to 200,976.54, 301,253.13 and 67,730.46 is: 101,524.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,976.54 : 301,253.13 = 67,730.46 : x
  2. Step 2: Convert to fraction form
    200,976.54/301,253.13 = 67,730.46/x
  3. Step 3: Cross multiply
    200,976.54x = 301,253.13 × 67,730.46
  4. Step 4: Simplify right side
    200,976.54x = 20,404,013,071.34
  5. Step 5: Solve for x
    x = 20,404,013,071.34/200,976.54
  6. Step 6: Final answer
    x = 101,524.35

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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.