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Finding the Fourth Proportional to 308,847.16, 462,926.49 and 140,114.44

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Solution

The fourth proportional to 308,847.16, 462,926.49 and 140,114.44 is: 210,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,847.16 : 462,926.49 = 140,114.44 : x
  2. Step 2: Convert to fraction form
    308,847.16/462,926.49 = 140,114.44/x
  3. Step 3: Cross multiply
    308,847.16x = 462,926.49 × 140,114.44
  4. Step 4: Simplify right side
    308,847.16x = 64,862,685,907.52
  5. Step 5: Solve for x
    x = 64,862,685,907.52/308,847.16
  6. Step 6: Final answer
    x = 210,015.48

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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.