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Finding the Fourth Proportional to 114,091.08, 157,257.04 and 85,747.56

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Solution

The fourth proportional to 114,091.08, 157,257.04 and 85,747.56 is: 118,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,091.08 : 157,257.04 = 85,747.56 : x
  2. Step 2: Convert to fraction form
    114,091.08/157,257.04 = 85,747.56/x
  3. Step 3: Cross multiply
    114,091.08x = 157,257.04 × 85,747.56
  4. Step 4: Simplify right side
    114,091.08x = 13,484,407,472.82
  5. Step 5: Solve for x
    x = 13,484,407,472.82/114,091.08
  6. Step 6: Final answer
    x = 118,189.85

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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.