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Finding the Fourth Proportional to 133,004.52, 199,467.90 and 109,572.84

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Solution

The fourth proportional to 133,004.52, 199,467.90 and 109,572.84 is: 164,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,004.52 : 199,467.90 = 109,572.84 : x
  2. Step 2: Convert to fraction form
    133,004.52/199,467.90 = 109,572.84/x
  3. Step 3: Cross multiply
    133,004.52x = 199,467.90 × 109,572.84
  4. Step 4: Simplify right side
    133,004.52x = 21,856,264,291.84
  5. Step 5: Solve for x
    x = 21,856,264,291.84/133,004.52
  6. Step 6: Final answer
    x = 164,327.23

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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.