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Finding the Fourth Proportional to 210,906.60, 315,899.10 and 163,789.80

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Solution

The fourth proportional to 210,906.60, 315,899.10 and 163,789.80 is: 245,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,906.60 : 315,899.10 = 163,789.80 : x
  2. Step 2: Convert to fraction form
    210,906.60/315,899.10 = 163,789.80/x
  3. Step 3: Cross multiply
    210,906.60x = 315,899.10 × 163,789.80
  4. Step 4: Simplify right side
    210,906.60x = 51,741,050,409.18
  5. Step 5: Solve for x
    x = 51,741,050,409.18/210,906.60
  6. Step 6: Final answer
    x = 245,326.84

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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.