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Finding the Fourth Proportional to 206,462.70, 309,876.30 and 122,117.40

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Solution

The fourth proportional to 206,462.70, 309,876.30 and 122,117.40 is: 183,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,462.70 : 309,876.30 = 122,117.40 : x
  2. Step 2: Convert to fraction form
    206,462.70/309,876.30 = 122,117.40/x
  3. Step 3: Cross multiply
    206,462.70x = 309,876.30 × 122,117.40
  4. Step 4: Simplify right side
    206,462.70x = 37,841,288,077.62
  5. Step 5: Solve for x
    x = 37,841,288,077.62/206,462.70
  6. Step 6: Final answer
    x = 183,283.90

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1.5x scale

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.