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Finding the Fourth Proportional to 114,214.20, 171,321.30 and 31,108.20

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Solution

The fourth proportional to 114,214.20, 171,321.30 and 31,108.20 is: 46,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,214.20 : 171,321.30 = 31,108.20 : x
  2. Step 2: Convert to fraction form
    114,214.20/171,321.30 = 31,108.20/x
  3. Step 3: Cross multiply
    114,214.20x = 171,321.30 × 31,108.20
  4. Step 4: Simplify right side
    114,214.20x = 5,329,497,264.66
  5. Step 5: Solve for x
    x = 5,329,497,264.66/114,214.20
  6. Step 6: Final answer
    x = 46,662.30

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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.