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Finding the Fourth Proportional to 114,144.72, 157,511.16 and 63,834

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Solution

The fourth proportional to 114,144.72, 157,511.16 and 63,834 is: 88,086.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,144.72 : 157,511.16 = 63,834 : x
  2. Step 2: Convert to fraction form
    114,144.72/157,511.16 = 63,834/x
  3. Step 3: Cross multiply
    114,144.72x = 157,511.16 × 63,834
  4. Step 4: Simplify right side
    114,144.72x = 10,054,567,387.44
  5. Step 5: Solve for x
    x = 10,054,567,387.44/114,144.72
  6. Step 6: Final answer
    x = 88,086.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.