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Finding the Fourth Proportional to 188,854.53, 283,327.55 and 55,731.84

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Solution

The fourth proportional to 188,854.53, 283,327.55 and 55,731.84 is: 83,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,854.53 : 283,327.55 = 55,731.84 : x
  2. Step 2: Convert to fraction form
    188,854.53/283,327.55 = 55,731.84/x
  3. Step 3: Cross multiply
    188,854.53x = 283,327.55 × 55,731.84
  4. Step 4: Simplify right side
    188,854.53x = 15,790,365,684.19
  5. Step 5: Solve for x
    x = 15,790,365,684.19/188,854.53
  6. Step 6: Final answer
    x = 83,611.26

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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.