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Finding the Fourth Proportional to 188,732.53, 283,197.21 and 76,495.69

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Solution

The fourth proportional to 188,732.53, 283,197.21 and 76,495.69 is: 114,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,732.53 : 283,197.21 = 76,495.69 : x
  2. Step 2: Convert to fraction form
    188,732.53/283,197.21 = 76,495.69/x
  3. Step 3: Cross multiply
    188,732.53x = 283,197.21 × 76,495.69
  4. Step 4: Simplify right side
    188,732.53x = 21,663,365,985.02
  5. Step 5: Solve for x
    x = 21,663,365,985.02/188,732.53
  6. Step 6: Final answer
    x = 114,783.42

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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.