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Finding the Fourth Proportional to 133,910.58, 200,877.66 and 49,671.66

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Solution

The fourth proportional to 133,910.58, 200,877.66 and 49,671.66 is: 74,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,910.58 : 200,877.66 = 49,671.66 : x
  2. Step 2: Convert to fraction form
    133,910.58/200,877.66 = 49,671.66/x
  3. Step 3: Cross multiply
    133,910.58x = 200,877.66 × 49,671.66
  4. Step 4: Simplify right side
    133,910.58x = 9,977,926,829.12
  5. Step 5: Solve for x
    x = 9,977,926,829.12/133,910.58
  6. Step 6: Final answer
    x = 74,511.86

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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.