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Finding the Fourth Proportional to 133,024.60, 199,536.90 and 106,780.60

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Solution

The fourth proportional to 133,024.60, 199,536.90 and 106,780.60 is: 160,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,024.60 : 199,536.90 = 106,780.60 : x
  2. Step 2: Convert to fraction form
    133,024.60/199,536.90 = 106,780.60/x
  3. Step 3: Cross multiply
    133,024.60x = 199,536.90 × 106,780.60
  4. Step 4: Simplify right side
    133,024.60x = 21,306,669,904.14
  5. Step 5: Solve for x
    x = 21,306,669,904.14/133,024.60
  6. Step 6: Final answer
    x = 160,170.90

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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.