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Finding the Fourth Proportional to 114,098.28, 157,403.23 and 73,825.17

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Solution

The fourth proportional to 114,098.28, 157,403.23 and 73,825.17 is: 101,844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,098.28 : 157,403.23 = 73,825.17 : x
  2. Step 2: Convert to fraction form
    114,098.28/157,403.23 = 73,825.17/x
  3. Step 3: Cross multiply
    114,098.28x = 157,403.23 × 73,825.17
  4. Step 4: Simplify right side
    114,098.28x = 11,620,320,213.30
  5. Step 5: Solve for x
    x = 11,620,320,213.30/114,098.28
  6. Step 6: Final answer
    x = 101,844.83

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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.