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Finding the Fourth Proportional to 100,834.61, 151,200.86 and 56,449.44

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Solution

The fourth proportional to 100,834.61, 151,200.86 and 56,449.44 is: 84,645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,834.61 : 151,200.86 = 56,449.44 : x
  2. Step 2: Convert to fraction form
    100,834.61/151,200.86 = 56,449.44/x
  3. Step 3: Cross multiply
    100,834.61x = 151,200.86 × 56,449.44
  4. Step 4: Simplify right side
    100,834.61x = 8,535,203,592.27
  5. Step 5: Solve for x
    x = 8,535,203,592.27/100,834.61
  6. Step 6: Final answer
    x = 84,645.58

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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.