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Finding the Fourth Proportional to 133,406.60, 199,850.70 and 74,136.20

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Solution

The fourth proportional to 133,406.60, 199,850.70 and 74,136.20 is: 111,060.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,406.60 : 199,850.70 = 74,136.20 : x
  2. Step 2: Convert to fraction form
    133,406.60/199,850.70 = 74,136.20/x
  3. Step 3: Cross multiply
    133,406.60x = 199,850.70 × 74,136.20
  4. Step 4: Simplify right side
    133,406.60x = 14,816,171,465.34
  5. Step 5: Solve for x
    x = 14,816,171,465.34/133,406.60
  6. Step 6: Final answer
    x = 111,060.26

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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.