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Finding the Fourth Proportional to 199,056.80, 298,585.20 and 114,960.80

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Solution

The fourth proportional to 199,056.80, 298,585.20 and 114,960.80 is: 172,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,056.80 : 298,585.20 = 114,960.80 : x
  2. Step 2: Convert to fraction form
    199,056.80/298,585.20 = 114,960.80/x
  3. Step 3: Cross multiply
    199,056.80x = 298,585.20 × 114,960.80
  4. Step 4: Simplify right side
    199,056.80x = 34,325,593,460.16
  5. Step 5: Solve for x
    x = 34,325,593,460.16/199,056.80
  6. Step 6: Final answer
    x = 172,441.20

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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.