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Finding the Fourth Proportional to 299,002.50, 412,723.40 and 178,181.69

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Solution

The fourth proportional to 299,002.50, 412,723.40 and 178,181.69 is: 245,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,002.50 : 412,723.40 = 178,181.69 : x
  2. Step 2: Convert to fraction form
    299,002.50/412,723.40 = 178,181.69/x
  3. Step 3: Cross multiply
    299,002.50x = 412,723.40 × 178,181.69
  4. Step 4: Simplify right side
    299,002.50x = 73,539,749,960.02
  5. Step 5: Solve for x
    x = 73,539,749,960.02/299,002.50
  6. Step 6: Final answer
    x = 245,950.28

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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.