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Finding the Fourth Proportional to 114,106.20, 171,159.30 and 31,000.20

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Solution

The fourth proportional to 114,106.20, 171,159.30 and 31,000.20 is: 46,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,106.20 : 171,159.30 = 31,000.20 : x
  2. Step 2: Convert to fraction form
    114,106.20/171,159.30 = 31,000.20/x
  3. Step 3: Cross multiply
    114,106.20x = 171,159.30 × 31,000.20
  4. Step 4: Simplify right side
    114,106.20x = 5,305,972,531.86
  5. Step 5: Solve for x
    x = 5,305,972,531.86/114,106.20
  6. Step 6: Final answer
    x = 46,500.30

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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.