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Finding the Fourth Proportional to 114,314.34, 157,756.38 and 66,550.26

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Solution

The fourth proportional to 114,314.34, 157,756.38 and 66,550.26 is: 91,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,314.34 : 157,756.38 = 66,550.26 : x
  2. Step 2: Convert to fraction form
    114,314.34/157,756.38 = 66,550.26/x
  3. Step 3: Cross multiply
    114,314.34x = 157,756.38 × 66,550.26
  4. Step 4: Simplify right side
    114,314.34x = 10,498,728,105.66
  5. Step 5: Solve for x
    x = 10,498,728,105.66/114,314.34
  6. Step 6: Final answer
    x = 91,840.87

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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.