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Finding the Fourth Proportional to 114,068.82, 171,007.23 and 51,722.58

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Solution

The fourth proportional to 114,068.82, 171,007.23 and 51,722.58 is: 77,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,068.82 : 171,007.23 = 51,722.58 : x
  2. Step 2: Convert to fraction form
    114,068.82/171,007.23 = 51,722.58/x
  3. Step 3: Cross multiply
    114,068.82x = 171,007.23 × 51,722.58
  4. Step 4: Simplify right side
    114,068.82x = 8,844,935,134.25
  5. Step 5: Solve for x
    x = 8,844,935,134.25/114,068.82
  6. Step 6: Final answer
    x = 77,540.34

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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.