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Finding the Fourth Proportional to 299,983.94, 414,254.10 and 192,740.84

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Solution

The fourth proportional to 299,983.94, 414,254.10 and 192,740.84 is: 266,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,983.94 : 414,254.10 = 192,740.84 : x
  2. Step 2: Convert to fraction form
    299,983.94/414,254.10 = 192,740.84/x
  3. Step 3: Cross multiply
    299,983.94x = 414,254.10 × 192,740.84
  4. Step 4: Simplify right side
    299,983.94x = 79,843,683,207.44
  5. Step 5: Solve for x
    x = 79,843,683,207.44/299,983.94
  6. Step 6: Final answer
    x = 266,159.86

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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.