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Finding the Fourth Proportional to 182,834.40, 274,251.60 and 64,509.60

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Solution

The fourth proportional to 182,834.40, 274,251.60 and 64,509.60 is: 96,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,834.40 : 274,251.60 = 64,509.60 : x
  2. Step 2: Convert to fraction form
    182,834.40/274,251.60 = 64,509.60/x
  3. Step 3: Cross multiply
    182,834.40x = 274,251.60 × 64,509.60
  4. Step 4: Simplify right side
    182,834.40x = 17,691,861,015.36
  5. Step 5: Solve for x
    x = 17,691,861,015.36/182,834.40
  6. Step 6: Final answer
    x = 96,764.40

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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.