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Finding the Fourth Proportional to 199,202.40, 298,803.60 and 175,874.40

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Solution

The fourth proportional to 199,202.40, 298,803.60 and 175,874.40 is: 263,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,202.40 : 298,803.60 = 175,874.40 : x
  2. Step 2: Convert to fraction form
    199,202.40/298,803.60 = 175,874.40/x
  3. Step 3: Cross multiply
    199,202.40x = 298,803.60 × 175,874.40
  4. Step 4: Simplify right side
    199,202.40x = 52,551,903,867.84
  5. Step 5: Solve for x
    x = 52,551,903,867.84/199,202.40
  6. Step 6: Final answer
    x = 263,811.60

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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.