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Finding the Fourth Proportional to 150,824.76, 208,168.56 and 87,153.90

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Solution

The fourth proportional to 150,824.76, 208,168.56 and 87,153.90 is: 120,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,824.76 : 208,168.56 = 87,153.90 : x
  2. Step 2: Convert to fraction form
    150,824.76/208,168.56 = 87,153.90/x
  3. Step 3: Cross multiply
    150,824.76x = 208,168.56 × 87,153.90
  4. Step 4: Simplify right side
    150,824.76x = 18,142,701,861.38
  5. Step 5: Solve for x
    x = 18,142,701,861.38/150,824.76
  6. Step 6: Final answer
    x = 120,289.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.