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Finding the Fourth Proportional to 133,602.08, 200,403.12 and 33,762.56

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Solution

The fourth proportional to 133,602.08, 200,403.12 and 33,762.56 is: 50,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,602.08 : 200,403.12 = 33,762.56 : x
  2. Step 2: Convert to fraction form
    133,602.08/200,403.12 = 33,762.56/x
  3. Step 3: Cross multiply
    133,602.08x = 200,403.12 × 33,762.56
  4. Step 4: Simplify right side
    133,602.08x = 6,766,121,487.78
  5. Step 5: Solve for x
    x = 6,766,121,487.78/133,602.08
  6. Step 6: Final answer
    x = 50,643.84

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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.