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Finding the Fourth Proportional to 133,596.59, 200,376.34 and 33,750.63

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Solution

The fourth proportional to 133,596.59, 200,376.34 and 33,750.63 is: 50,621.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,596.59 : 200,376.34 = 33,750.63 : x
  2. Step 2: Convert to fraction form
    133,596.59/200,376.34 = 33,750.63/x
  3. Step 3: Cross multiply
    133,596.59x = 200,376.34 × 33,750.63
  4. Step 4: Simplify right side
    133,596.59x = 6,762,827,627.72
  5. Step 5: Solve for x
    x = 6,762,827,627.72/133,596.59
  6. Step 6: Final answer
    x = 50,621.26

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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.