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Finding the Fourth Proportional to 242,990.40, 364,874.40 and 164,452.80

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Solution

The fourth proportional to 242,990.40, 364,874.40 and 164,452.80 is: 246,942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,990.40 : 364,874.40 = 164,452.80 : x
  2. Step 2: Convert to fraction form
    242,990.40/364,874.40 = 164,452.80/x
  3. Step 3: Cross multiply
    242,990.40x = 364,874.40 × 164,452.80
  4. Step 4: Simplify right side
    242,990.40x = 60,004,616,728.32
  5. Step 5: Solve for x
    x = 60,004,616,728.32/242,990.40
  6. Step 6: Final answer
    x = 246,942.33

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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.