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Finding the Fourth Proportional to 114,046.30, 171,069.45 and 51,716.80

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Solution

The fourth proportional to 114,046.30, 171,069.45 and 51,716.80 is: 77,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,046.30 : 171,069.45 = 51,716.80 : x
  2. Step 2: Convert to fraction form
    114,046.30/171,069.45 = 51,716.80/x
  3. Step 3: Cross multiply
    114,046.30x = 171,069.45 × 51,716.80
  4. Step 4: Simplify right side
    114,046.30x = 8,847,164,531.76
  5. Step 5: Solve for x
    x = 8,847,164,531.76/114,046.30
  6. Step 6: Final answer
    x = 77,575.20

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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.