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Finding the Fourth Proportional to 174,494.64, 261,716.76 and 56,150.64

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Solution

The fourth proportional to 174,494.64, 261,716.76 and 56,150.64 is: 84,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,494.64 : 261,716.76 = 56,150.64 : x
  2. Step 2: Convert to fraction form
    174,494.64/261,716.76 = 56,150.64/x
  3. Step 3: Cross multiply
    174,494.64x = 261,716.76 × 56,150.64
  4. Step 4: Simplify right side
    174,494.64x = 14,695,563,572.73
  5. Step 5: Solve for x
    x = 14,695,563,572.73/174,494.64
  6. Step 6: Final answer
    x = 84,217.85

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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.