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Finding the Fourth Proportional to 206,308.22, 309,485.46 and 185,117.98

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Solution

The fourth proportional to 206,308.22, 309,485.46 and 185,117.98 is: 277,697.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,308.22 : 309,485.46 = 185,117.98 : x
  2. Step 2: Convert to fraction form
    206,308.22/309,485.46 = 185,117.98/x
  3. Step 3: Cross multiply
    206,308.22x = 309,485.46 × 185,117.98
  4. Step 4: Simplify right side
    206,308.22x = 57,291,323,194.57
  5. Step 5: Solve for x
    x = 57,291,323,194.57/206,308.22
  6. Step 6: Final answer
    x = 277,697.72

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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.