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Finding the Fourth Proportional to 114,454.95, 157,949.74 and 63,469.82

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Solution

The fourth proportional to 114,454.95, 157,949.74 and 63,469.82 is: 87,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,454.95 : 157,949.74 = 63,469.82 : x
  2. Step 2: Convert to fraction form
    114,454.95/157,949.74 = 63,469.82/x
  3. Step 3: Cross multiply
    114,454.95x = 157,949.74 × 63,469.82
  4. Step 4: Simplify right side
    114,454.95x = 10,025,042,041.06
  5. Step 5: Solve for x
    x = 10,025,042,041.06/114,454.95
  6. Step 6: Final answer
    x = 87,589.42

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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.