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Finding the Fourth Proportional to 206,844.40, 310,266.72 and 59,100.40

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Solution

The fourth proportional to 206,844.40, 310,266.72 and 59,100.40 is: 88,650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,844.40 : 310,266.72 = 59,100.40 : x
  2. Step 2: Convert to fraction form
    206,844.40/310,266.72 = 59,100.40/x
  3. Step 3: Cross multiply
    206,844.40x = 310,266.72 × 59,100.40
  4. Step 4: Simplify right side
    206,844.40x = 18,336,887,258.69
  5. Step 5: Solve for x
    x = 18,336,887,258.69/206,844.40
  6. Step 6: Final answer
    x = 88,650.63

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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.