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Finding the Fourth Proportional to 213,123.40, 319,857.90 and 206,211.40

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Solution

The fourth proportional to 213,123.40, 319,857.90 and 206,211.40 is: 309,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,123.40 : 319,857.90 = 206,211.40 : x
  2. Step 2: Convert to fraction form
    213,123.40/319,857.90 = 206,211.40/x
  3. Step 3: Cross multiply
    213,123.40x = 319,857.90 × 206,211.40
  4. Step 4: Simplify right side
    213,123.40x = 65,958,345,360.06
  5. Step 5: Solve for x
    x = 65,958,345,360.06/213,123.40
  6. Step 6: Final answer
    x = 309,484.30

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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.