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Finding the Fourth Proportional to 147,951.89, 204,169.50 and 83,420.56

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Solution

The fourth proportional to 147,951.89, 204,169.50 and 83,420.56 is: 115,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,951.89 : 204,169.50 = 83,420.56 : x
  2. Step 2: Convert to fraction form
    147,951.89/204,169.50 = 83,420.56/x
  3. Step 3: Cross multiply
    147,951.89x = 204,169.50 × 83,420.56
  4. Step 4: Simplify right side
    147,951.89x = 17,031,934,024.92
  5. Step 5: Solve for x
    x = 17,031,934,024.92/147,951.89
  6. Step 6: Final answer
    x = 115,118.06

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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.