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Finding the Fourth Proportional to 114,301.46, 157,738.38 and 68,408.54

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Solution

The fourth proportional to 114,301.46, 157,738.38 and 68,408.54 is: 94,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,301.46 : 157,738.38 = 68,408.54 : x
  2. Step 2: Convert to fraction form
    114,301.46/157,738.38 = 68,408.54/x
  3. Step 3: Cross multiply
    114,301.46x = 157,738.38 × 68,408.54
  4. Step 4: Simplify right side
    114,301.46x = 10,790,652,277.77
  5. Step 5: Solve for x
    x = 10,790,652,277.77/114,301.46
  6. Step 6: Final answer
    x = 94,405.20

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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.