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Finding the Fourth Proportional to 199,035.20, 298,552.80 and 120,303.20

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Solution

The fourth proportional to 199,035.20, 298,552.80 and 120,303.20 is: 180,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,035.20 : 298,552.80 = 120,303.20 : x
  2. Step 2: Convert to fraction form
    199,035.20/298,552.80 = 120,303.20/x
  3. Step 3: Cross multiply
    199,035.20x = 298,552.80 × 120,303.20
  4. Step 4: Simplify right side
    199,035.20x = 35,916,857,208.96
  5. Step 5: Solve for x
    x = 35,916,857,208.96/199,035.20
  6. Step 6: Final answer
    x = 180,454.80

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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.