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Finding the Fourth Proportional to 114,233.46, 157,642.16 and 63,932.46

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Solution

The fourth proportional to 114,233.46, 157,642.16 and 63,932.46 is: 88,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,233.46 : 157,642.16 = 63,932.46 : x
  2. Step 2: Convert to fraction form
    114,233.46/157,642.16 = 63,932.46/x
  3. Step 3: Cross multiply
    114,233.46x = 157,642.16 × 63,932.46
  4. Step 4: Simplify right side
    114,233.46x = 10,078,450,768.85
  5. Step 5: Solve for x
    x = 10,078,450,768.85/114,233.46
  6. Step 6: Final answer
    x = 88,226.78

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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.