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Finding the Fourth Proportional to 133,243.76, 183,876.88 and 72,814.44

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Solution

The fourth proportional to 133,243.76, 183,876.88 and 72,814.44 is: 100,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,243.76 : 183,876.88 = 72,814.44 : x
  2. Step 2: Convert to fraction form
    133,243.76/183,876.88 = 72,814.44/x
  3. Step 3: Cross multiply
    133,243.76x = 183,876.88 × 72,814.44
  4. Step 4: Simplify right side
    133,243.76x = 13,388,892,046.15
  5. Step 5: Solve for x
    x = 13,388,892,046.15/133,243.76
  6. Step 6: Final answer
    x = 100,484.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.