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Finding the Fourth Proportional to 216,423.08, 298,665.34 and 120,933.80

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Solution

The fourth proportional to 216,423.08, 298,665.34 and 120,933.80 is: 166,889.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,423.08 : 298,665.34 = 120,933.80 : x
  2. Step 2: Convert to fraction form
    216,423.08/298,665.34 = 120,933.80/x
  3. Step 3: Cross multiply
    216,423.08x = 298,665.34 × 120,933.80
  4. Step 4: Simplify right side
    216,423.08x = 36,118,734,494.49
  5. Step 5: Solve for x
    x = 36,118,734,494.49/216,423.08
  6. Step 6: Final answer
    x = 166,889.48

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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.