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Finding the Fourth Proportional to 114,092.34, 171,161.10 and 35,203.20

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Solution

The fourth proportional to 114,092.34, 171,161.10 and 35,203.20 is: 52,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,092.34 : 171,161.10 = 35,203.20 : x
  2. Step 2: Convert to fraction form
    114,092.34/171,161.10 = 35,203.20/x
  3. Step 3: Cross multiply
    114,092.34x = 171,161.10 × 35,203.20
  4. Step 4: Simplify right side
    114,092.34x = 6,025,418,435.52
  5. Step 5: Solve for x
    x = 6,025,418,435.52/114,092.34
  6. Step 6: Final answer
    x = 52,811.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.