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Finding the Fourth Proportional to 142,087.79, 213,136.26 and 74,602.73

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Solution

The fourth proportional to 142,087.79, 213,136.26 and 74,602.73 is: 111,906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,087.79 : 213,136.26 = 74,602.73 : x
  2. Step 2: Convert to fraction form
    142,087.79/213,136.26 = 74,602.73/x
  3. Step 3: Cross multiply
    142,087.79x = 213,136.26 × 74,602.73
  4. Step 4: Simplify right side
    142,087.79x = 15,900,546,857.99
  5. Step 5: Solve for x
    x = 15,900,546,857.99/142,087.79
  6. Step 6: Final answer
    x = 111,906.50

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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.