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Finding the Fourth Proportional to 113,777.48, 170,527.62 and 80,507

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Solution

The fourth proportional to 113,777.48, 170,527.62 and 80,507 is: 120,662.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,777.48 : 170,527.62 = 80,507 : x
  2. Step 2: Convert to fraction form
    113,777.48/170,527.62 = 80,507/x
  3. Step 3: Cross multiply
    113,777.48x = 170,527.62 × 80,507
  4. Step 4: Simplify right side
    113,777.48x = 13,728,667,103.34
  5. Step 5: Solve for x
    x = 13,728,667,103.34/113,777.48
  6. Step 6: Final answer
    x = 120,662.43

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