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Finding the Fourth Proportional to 196,930.74, 295,323.15 and 154,892.55

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Solution

The fourth proportional to 196,930.74, 295,323.15 and 154,892.55 is: 232,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,930.74 : 295,323.15 = 154,892.55 : x
  2. Step 2: Convert to fraction form
    196,930.74/295,323.15 = 154,892.55/x
  3. Step 3: Cross multiply
    196,930.74x = 295,323.15 × 154,892.55
  4. Step 4: Simplify right side
    196,930.74x = 45,743,355,777.53
  5. Step 5: Solve for x
    x = 45,743,355,777.53/196,930.74
  6. Step 6: Final answer
    x = 232,281.44

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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.