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Finding the Fourth Proportional to 114,091.89, 157,433.12 and 63,097.70

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Solution

The fourth proportional to 114,091.89, 157,433.12 and 63,097.70 is: 87,067.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,091.89 : 157,433.12 = 63,097.70 : x
  2. Step 2: Convert to fraction form
    114,091.89/157,433.12 = 63,097.70/x
  3. Step 3: Cross multiply
    114,091.89x = 157,433.12 × 63,097.70
  4. Step 4: Simplify right side
    114,091.89x = 9,933,667,775.82
  5. Step 5: Solve for x
    x = 9,933,667,775.82/114,091.89
  6. Step 6: Final answer
    x = 87,067.26

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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.