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Finding the Fourth Proportional to 114,108, 157,415.98 and 73,834.75

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Solution

The fourth proportional to 114,108, 157,415.98 and 73,834.75 is: 101,857.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,108 : 157,415.98 = 73,834.75 : x
  2. Step 2: Convert to fraction form
    114,108/157,415.98 = 73,834.75/x
  3. Step 3: Cross multiply
    114,108x = 157,415.98 × 73,834.75
  4. Step 4: Simplify right side
    114,108x = 11,622,769,529.31
  5. Step 5: Solve for x
    x = 11,622,769,529.31/114,108
  6. Step 6: Final answer
    x = 101,857.62

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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.