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Finding the Fourth Proportional to 216,871.68, 299,082.90 and 148,768.50

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Solution

The fourth proportional to 216,871.68, 299,082.90 and 148,768.50 is: 205,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,871.68 : 299,082.90 = 148,768.50 : x
  2. Step 2: Convert to fraction form
    216,871.68/299,082.90 = 148,768.50/x
  3. Step 3: Cross multiply
    216,871.68x = 299,082.90 × 148,768.50
  4. Step 4: Simplify right side
    216,871.68x = 44,494,113,568.93
  5. Step 5: Solve for x
    x = 44,494,113,568.93/216,871.68
  6. Step 6: Final answer
    x = 205,163.32

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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.