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Finding the Fourth Proportional to 114,212.84, 171,359.82 and 51,027.17

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Solution

The fourth proportional to 114,212.84, 171,359.82 and 51,027.17 is: 76,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,212.84 : 171,359.82 = 51,027.17 : x
  2. Step 2: Convert to fraction form
    114,212.84/171,359.82 = 51,027.17/x
  3. Step 3: Cross multiply
    114,212.84x = 171,359.82 × 51,027.17
  4. Step 4: Simplify right side
    114,212.84x = 8,744,005,809.51
  5. Step 5: Solve for x
    x = 8,744,005,809.51/114,212.84
  6. Step 6: Final answer
    x = 76,558.87

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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.