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Finding the Fourth Proportional to 114,046.54, 171,053.61 and 39,165.46

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Solution

The fourth proportional to 114,046.54, 171,053.61 and 39,165.46 is: 58,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,046.54 : 171,053.61 = 39,165.46 : x
  2. Step 2: Convert to fraction form
    114,046.54/171,053.61 = 39,165.46/x
  3. Step 3: Cross multiply
    114,046.54x = 171,053.61 × 39,165.46
  4. Step 4: Simplify right side
    114,046.54x = 6,699,393,320.31
  5. Step 5: Solve for x
    x = 6,699,393,320.31/114,046.54
  6. Step 6: Final answer
    x = 58,742.63

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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.