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Finding the Fourth Proportional to 133,389.34, 200,069.26 and 33,549.57

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Solution

The fourth proportional to 133,389.34, 200,069.26 and 33,549.57 is: 50,320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,389.34 : 200,069.26 = 33,549.57 : x
  2. Step 2: Convert to fraction form
    133,389.34/200,069.26 = 33,549.57/x
  3. Step 3: Cross multiply
    133,389.34x = 200,069.26 × 33,549.57
  4. Step 4: Simplify right side
    133,389.34x = 6,712,237,138.19
  5. Step 5: Solve for x
    x = 6,712,237,138.19/133,389.34
  6. Step 6: Final answer
    x = 50,320.64

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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.