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Finding the Fourth Proportional to 199,844.37, 299,754.23 and 66,713.49

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Solution

The fourth proportional to 199,844.37, 299,754.23 and 66,713.49 is: 100,066.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,844.37 : 299,754.23 = 66,713.49 : x
  2. Step 2: Convert to fraction form
    199,844.37/299,754.23 = 66,713.49/x
  3. Step 3: Cross multiply
    199,844.37x = 299,754.23 × 66,713.49
  4. Step 4: Simplify right side
    199,844.37x = 19,997,650,492.00
  5. Step 5: Solve for x
    x = 19,997,650,492.00/199,844.37
  6. Step 6: Final answer
    x = 100,066.12

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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.