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Finding the Fourth Proportional to 299,157.54, 412,881.24 and 197,166.42

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Solution

The fourth proportional to 299,157.54, 412,881.24 and 197,166.42 is: 272,118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,157.54 : 412,881.24 = 197,166.42 : x
  2. Step 2: Convert to fraction form
    299,157.54/412,881.24 = 197,166.42/x
  3. Step 3: Cross multiply
    299,157.54x = 412,881.24 × 197,166.42
  4. Step 4: Simplify right side
    299,157.54x = 81,406,315,975.96
  5. Step 5: Solve for x
    x = 81,406,315,975.96/299,157.54
  6. Step 6: Final answer
    x = 272,118.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.