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Finding the Fourth Proportional to 114,144.24, 157,519.44 and 63,840

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Solution

The fourth proportional to 114,144.24, 157,519.44 and 63,840 is: 88,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,144.24 : 157,519.44 = 63,840 : x
  2. Step 2: Convert to fraction form
    114,144.24/157,519.44 = 63,840/x
  3. Step 3: Cross multiply
    114,144.24x = 157,519.44 × 63,840
  4. Step 4: Simplify right side
    114,144.24x = 10,056,041,049.60
  5. Step 5: Solve for x
    x = 10,056,041,049.60/114,144.24
  6. Step 6: Final answer
    x = 88,099.42

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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.