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Finding the Fourth Proportional to 114,189.74, 171,186.19 and 54,943.91

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Solution

The fourth proportional to 114,189.74, 171,186.19 and 54,943.91 is: 82,368.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,189.74 : 171,186.19 = 54,943.91 : x
  2. Step 2: Convert to fraction form
    114,189.74/171,186.19 = 54,943.91/x
  3. Step 3: Cross multiply
    114,189.74x = 171,186.19 × 54,943.91
  4. Step 4: Simplify right side
    114,189.74x = 9,405,638,616.60
  5. Step 5: Solve for x
    x = 9,405,638,616.60/114,189.74
  6. Step 6: Final answer
    x = 82,368.51

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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.