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Finding the Fourth Proportional to 309,208.59, 464,112.18 and 149,396.94

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Solution

The fourth proportional to 309,208.59, 464,112.18 and 149,396.94 is: 224,240.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,208.59 : 464,112.18 = 149,396.94 : x
  2. Step 2: Convert to fraction form
    309,208.59/464,112.18 = 149,396.94/x
  3. Step 3: Cross multiply
    309,208.59x = 464,112.18 × 149,396.94
  4. Step 4: Simplify right side
    309,208.59x = 69,336,939,508.73
  5. Step 5: Solve for x
    x = 69,336,939,508.73/309,208.59
  6. Step 6: Final answer
    x = 224,240.02

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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.