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Finding the Fourth Proportional to 161,082, 241,576.53 and 48,735.81

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Solution

The fourth proportional to 161,082, 241,576.53 and 48,735.81 is: 73,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,082 : 241,576.53 = 48,735.81 : x
  2. Step 2: Convert to fraction form
    161,082/241,576.53 = 48,735.81/x
  3. Step 3: Cross multiply
    161,082x = 241,576.53 × 48,735.81
  4. Step 4: Simplify right side
    161,082x = 11,773,427,683.78
  5. Step 5: Solve for x
    x = 11,773,427,683.78/161,082
  6. Step 6: Final answer
    x = 73,089.65

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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.