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Finding the Fourth Proportional to 114,165.94, 157,590.78 and 68,845.84

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Solution

The fourth proportional to 114,165.94, 157,590.78 and 68,845.84 is: 95,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,165.94 : 157,590.78 = 68,845.84 : x
  2. Step 2: Convert to fraction form
    114,165.94/157,590.78 = 68,845.84/x
  3. Step 3: Cross multiply
    114,165.94x = 157,590.78 × 68,845.84
  4. Step 4: Simplify right side
    114,165.94x = 10,849,469,625.36
  5. Step 5: Solve for x
    x = 10,849,469,625.36/114,165.94
  6. Step 6: Final answer
    x = 95,032.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.