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Finding the Fourth Proportional to 134,285.20, 185,299.04 and 77,686

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Solution

The fourth proportional to 134,285.20, 185,299.04 and 77,686 is: 107,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,285.20 : 185,299.04 = 77,686 : x
  2. Step 2: Convert to fraction form
    134,285.20/185,299.04 = 77,686/x
  3. Step 3: Cross multiply
    134,285.20x = 185,299.04 × 77,686
  4. Step 4: Simplify right side
    134,285.20x = 14,395,141,221.44
  5. Step 5: Solve for x
    x = 14,395,141,221.44/134,285.20
  6. Step 6: Final answer
    x = 107,198.27

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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.