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Finding the Fourth Proportional to 206,785.45, 310,014.15 and 113,291.20

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Solution

The fourth proportional to 206,785.45, 310,014.15 and 113,291.20 is: 169,846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,785.45 : 310,014.15 = 113,291.20 : x
  2. Step 2: Convert to fraction form
    206,785.45/310,014.15 = 113,291.20/x
  3. Step 3: Cross multiply
    206,785.45x = 310,014.15 × 113,291.20
  4. Step 4: Simplify right side
    206,785.45x = 35,121,875,070.48
  5. Step 5: Solve for x
    x = 35,121,875,070.48/206,785.45
  6. Step 6: Final answer
    x = 169,846.94

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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.