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Finding the Fourth Proportional to 114,309.87, 171,575.52 and 55,187.07

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Solution

The fourth proportional to 114,309.87, 171,575.52 and 55,187.07 is: 82,834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,309.87 : 171,575.52 = 55,187.07 : x
  2. Step 2: Convert to fraction form
    114,309.87/171,575.52 = 55,187.07/x
  3. Step 3: Cross multiply
    114,309.87x = 171,575.52 × 55,187.07
  4. Step 4: Simplify right side
    114,309.87x = 9,468,750,232.53
  5. Step 5: Solve for x
    x = 9,468,750,232.53/114,309.87
  6. Step 6: Final answer
    x = 82,834.06

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Why These Related Problems?

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