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Finding the Fourth Proportional to 199,202.40, 298,803.60 and 154,101.60

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Solution

The fourth proportional to 199,202.40, 298,803.60 and 154,101.60 is: 231,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,202.40 : 298,803.60 = 154,101.60 : x
  2. Step 2: Convert to fraction form
    199,202.40/298,803.60 = 154,101.60/x
  3. Step 3: Cross multiply
    199,202.40x = 298,803.60 × 154,101.60
  4. Step 4: Simplify right side
    199,202.40x = 46,046,112,845.76
  5. Step 5: Solve for x
    x = 46,046,112,845.76/199,202.40
  6. Step 6: Final answer
    x = 231,152.40

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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.