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Finding the Fourth Proportional to 199,333.68, 298,662.18 and 120,281.80

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Solution

The fourth proportional to 199,333.68, 298,662.18 and 120,281.80 is: 180,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,333.68 : 298,662.18 = 120,281.80 : x
  2. Step 2: Convert to fraction form
    199,333.68/298,662.18 = 120,281.80/x
  3. Step 3: Cross multiply
    199,333.68x = 298,662.18 × 120,281.80
  4. Step 4: Simplify right side
    199,333.68x = 35,923,624,602.32
  5. Step 5: Solve for x
    x = 35,923,624,602.32/199,333.68
  6. Step 6: Final answer
    x = 180,218.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.