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Finding the Fourth Proportional to 206,410.60, 309,615.90 and 101,434.60

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Solution

The fourth proportional to 206,410.60, 309,615.90 and 101,434.60 is: 152,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,410.60 : 309,615.90 = 101,434.60 : x
  2. Step 2: Convert to fraction form
    206,410.60/309,615.90 = 101,434.60/x
  3. Step 3: Cross multiply
    206,410.60x = 309,615.90 × 101,434.60
  4. Step 4: Simplify right side
    206,410.60x = 31,405,764,970.14
  5. Step 5: Solve for x
    x = 31,405,764,970.14/206,410.60
  6. Step 6: Final answer
    x = 152,151.90

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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.