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Finding the Fourth Proportional to 135,499.76, 203,176.34 and 107,599.32

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Solution

The fourth proportional to 135,499.76, 203,176.34 and 107,599.32 is: 161,340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,499.76 : 203,176.34 = 107,599.32 : x
  2. Step 2: Convert to fraction form
    135,499.76/203,176.34 = 107,599.32/x
  3. Step 3: Cross multiply
    135,499.76x = 203,176.34 × 107,599.32
  4. Step 4: Simplify right side
    135,499.76x = 21,861,636,024.09
  5. Step 5: Solve for x
    x = 21,861,636,024.09/135,499.76
  6. Step 6: Final answer
    x = 161,340.77

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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.