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Finding the Fourth Proportional to 97,992.89, 146,865.41 and 55,896.78

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Solution

The fourth proportional to 97,992.89, 146,865.41 and 55,896.78 is: 83,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,992.89 : 146,865.41 = 55,896.78 : x
  2. Step 2: Convert to fraction form
    97,992.89/146,865.41 = 55,896.78/x
  3. Step 3: Cross multiply
    97,992.89x = 146,865.41 × 55,896.78
  4. Step 4: Simplify right side
    97,992.89x = 8,209,302,911.29
  5. Step 5: Solve for x
    x = 8,209,302,911.29/97,992.89
  6. Step 6: Final answer
    x = 83,774.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.