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Finding the Fourth Proportional to 114,046.86, 171,099.45 and 47,464.86

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Solution

The fourth proportional to 114,046.86, 171,099.45 and 47,464.86 is: 71,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,046.86 : 171,099.45 = 47,464.86 : x
  2. Step 2: Convert to fraction form
    114,046.86/171,099.45 = 47,464.86/x
  3. Step 3: Cross multiply
    114,046.86x = 171,099.45 × 47,464.86
  4. Step 4: Simplify right side
    114,046.86x = 8,121,211,440.33
  5. Step 5: Solve for x
    x = 8,121,211,440.33/114,046.86
  6. Step 6: Final answer
    x = 71,209.43

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1.5x scale

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.