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Finding the Fourth Proportional to 135,390.34, 186,840.64 and 77,997.99

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Solution

The fourth proportional to 135,390.34, 186,840.64 and 77,997.99 is: 107,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,390.34 : 186,840.64 = 77,997.99 : x
  2. Step 2: Convert to fraction form
    135,390.34/186,840.64 = 77,997.99/x
  3. Step 3: Cross multiply
    135,390.34x = 186,840.64 × 77,997.99
  4. Step 4: Simplify right side
    135,390.34x = 14,573,194,370.31
  5. Step 5: Solve for x
    x = 14,573,194,370.31/135,390.34
  6. Step 6: Final answer
    x = 107,638.36

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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.