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Finding the Fourth Proportional to 133,782.92, 200,703.96 and 45,033.50

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Solution

The fourth proportional to 133,782.92, 200,703.96 and 45,033.50 is: 67,560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,782.92 : 200,703.96 = 45,033.50 : x
  2. Step 2: Convert to fraction form
    133,782.92/200,703.96 = 45,033.50/x
  3. Step 3: Cross multiply
    133,782.92x = 200,703.96 × 45,033.50
  4. Step 4: Simplify right side
    133,782.92x = 9,038,401,782.66
  5. Step 5: Solve for x
    x = 9,038,401,782.66/133,782.92
  6. Step 6: Final answer
    x = 67,560.21

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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.