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Finding the Fourth Proportional to 216,645.46, 299,012.06 and 145,150.13

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Solution

The fourth proportional to 216,645.46, 299,012.06 and 145,150.13 is: 200,334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,645.46 : 299,012.06 = 145,150.13 : x
  2. Step 2: Convert to fraction form
    216,645.46/299,012.06 = 145,150.13/x
  3. Step 3: Cross multiply
    216,645.46x = 299,012.06 × 145,150.13
  4. Step 4: Simplify right side
    216,645.46x = 43,401,639,380.57
  5. Step 5: Solve for x
    x = 43,401,639,380.57/216,645.46
  6. Step 6: Final answer
    x = 200,334.87

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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.