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Finding the Fourth Proportional to 166,343.65, 229,548.76 and 105,122.56

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Solution

The fourth proportional to 166,343.65, 229,548.76 and 105,122.56 is: 145,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,343.65 : 229,548.76 = 105,122.56 : x
  2. Step 2: Convert to fraction form
    166,343.65/229,548.76 = 105,122.56/x
  3. Step 3: Cross multiply
    166,343.65x = 229,548.76 × 105,122.56
  4. Step 4: Simplify right side
    166,343.65x = 24,130,753,296.03
  5. Step 5: Solve for x
    x = 24,130,753,296.03/166,343.65
  6. Step 6: Final answer
    x = 145,065.67

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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.