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Finding the Fourth Proportional to 133,602.26, 200,403.41 and 33,762.74

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Solution

The fourth proportional to 133,602.26, 200,403.41 and 33,762.74 is: 50,644.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,602.26 : 200,403.41 = 33,762.74 : x
  2. Step 2: Convert to fraction form
    133,602.26/200,403.41 = 33,762.74/x
  3. Step 3: Cross multiply
    133,602.26x = 200,403.41 × 33,762.74
  4. Step 4: Simplify right side
    133,602.26x = 6,766,168,559.14
  5. Step 5: Solve for x
    x = 6,766,168,559.14/133,602.26
  6. Step 6: Final answer
    x = 50,644.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.