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Finding the Fourth Proportional to 114,154.72, 157,524.96 and 63,844

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Solution

The fourth proportional to 114,154.72, 157,524.96 and 63,844 is: 88,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,154.72 : 157,524.96 = 63,844 : x
  2. Step 2: Convert to fraction form
    114,154.72/157,524.96 = 63,844/x
  3. Step 3: Cross multiply
    114,154.72x = 157,524.96 × 63,844
  4. Step 4: Simplify right side
    114,154.72x = 10,057,023,546.24
  5. Step 5: Solve for x
    x = 10,057,023,546.24/114,154.72
  6. Step 6: Final answer
    x = 88,099.94

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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.