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Finding the Fourth Proportional to 313,847.94, 470,662.82 and 133,926.10

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Solution

The fourth proportional to 313,847.94, 470,662.82 and 133,926.10 is: 200,842.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,847.94 : 470,662.82 = 133,926.10 : x
  2. Step 2: Convert to fraction form
    313,847.94/470,662.82 = 133,926.10/x
  3. Step 3: Cross multiply
    313,847.94x = 470,662.82 × 133,926.10
  4. Step 4: Simplify right side
    313,847.94x = 63,034,035,897.60
  5. Step 5: Solve for x
    x = 63,034,035,897.60/313,847.94
  6. Step 6: Final answer
    x = 200,842.60

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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.