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Finding the Fourth Proportional to 299,186.60, 412,756.98 and 191,736.88

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Solution

The fourth proportional to 299,186.60, 412,756.98 and 191,736.88 is: 264,519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,186.60 : 412,756.98 = 191,736.88 : x
  2. Step 2: Convert to fraction form
    299,186.60/412,756.98 = 191,736.88/x
  3. Step 3: Cross multiply
    299,186.60x = 412,756.98 × 191,736.88
  4. Step 4: Simplify right side
    299,186.60x = 79,140,735,543.42
  5. Step 5: Solve for x
    x = 79,140,735,543.42/299,186.60
  6. Step 6: Final answer
    x = 264,519.65

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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.