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Finding the Fourth Proportional to 216,045.90, 298,149.12 and 120,571.20

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Solution

The fourth proportional to 216,045.90, 298,149.12 and 120,571.20 is: 166,391.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,045.90 : 298,149.12 = 120,571.20 : x
  2. Step 2: Convert to fraction form
    216,045.90/298,149.12 = 120,571.20/x
  3. Step 3: Cross multiply
    216,045.90x = 298,149.12 × 120,571.20
  4. Step 4: Simplify right side
    216,045.90x = 35,948,197,177.34
  5. Step 5: Solve for x
    x = 35,948,197,177.34/216,045.90
  6. Step 6: Final answer
    x = 166,391.48

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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.