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Finding the Fourth Proportional to 231,615, 319,637.34 and 131,010.84

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Solution

The fourth proportional to 231,615, 319,637.34 and 131,010.84 is: 180,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,615 : 319,637.34 = 131,010.84 : x
  2. Step 2: Convert to fraction form
    231,615/319,637.34 = 131,010.84/x
  3. Step 3: Cross multiply
    231,615x = 319,637.34 × 131,010.84
  4. Step 4: Simplify right side
    231,615x = 41,875,956,408.77
  5. Step 5: Solve for x
    x = 41,875,956,408.77/231,615
  6. Step 6: Final answer
    x = 180,799.85

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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.