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Finding the Fourth Proportional to 199,137.60, 298,706.40 and 74,462.40

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Solution

The fourth proportional to 199,137.60, 298,706.40 and 74,462.40 is: 111,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,137.60 : 298,706.40 = 74,462.40 : x
  2. Step 2: Convert to fraction form
    199,137.60/298,706.40 = 74,462.40/x
  3. Step 3: Cross multiply
    199,137.60x = 298,706.40 × 74,462.40
  4. Step 4: Simplify right side
    199,137.60x = 22,242,395,439.36
  5. Step 5: Solve for x
    x = 22,242,395,439.36/199,137.60
  6. Step 6: Final answer
    x = 111,693.60

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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.