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Finding the Fourth Proportional to 213,301.80, 319,845.24 and 71,096.64

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Solution

The fourth proportional to 213,301.80, 319,845.24 and 71,096.64 is: 106,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,301.80 : 319,845.24 = 71,096.64 : x
  2. Step 2: Convert to fraction form
    213,301.80/319,845.24 = 71,096.64/x
  3. Step 3: Cross multiply
    213,301.80x = 319,845.24 × 71,096.64
  4. Step 4: Simplify right side
    213,301.80x = 22,739,921,883.99
  5. Step 5: Solve for x
    x = 22,739,921,883.99/213,301.80
  6. Step 6: Final answer
    x = 106,609.14

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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.