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Finding the Fourth Proportional to 133,762.62, 200,662.49 and 45,041.49

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Solution

The fourth proportional to 133,762.62, 200,662.49 and 45,041.49 is: 67,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,762.62 : 200,662.49 = 45,041.49 : x
  2. Step 2: Convert to fraction form
    133,762.62/200,662.49 = 45,041.49/x
  3. Step 3: Cross multiply
    133,762.62x = 200,662.49 × 45,041.49
  4. Step 4: Simplify right side
    133,762.62x = 9,038,138,087.00
  5. Step 5: Solve for x
    x = 9,038,138,087.00/133,762.62
  6. Step 6: Final answer
    x = 67,568.49

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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.