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Finding the Fourth Proportional to 299,109.59, 412,537.82 and 191,689.55

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Solution

The fourth proportional to 299,109.59, 412,537.82 and 191,689.55 is: 264,381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,109.59 : 412,537.82 = 191,689.55 : x
  2. Step 2: Convert to fraction form
    299,109.59/412,537.82 = 191,689.55/x
  3. Step 3: Cross multiply
    299,109.59x = 412,537.82 × 191,689.55
  4. Step 4: Simplify right side
    299,109.59x = 79,079,186,052.64
  5. Step 5: Solve for x
    x = 79,079,186,052.64/299,109.59
  6. Step 6: Final answer
    x = 264,381.99

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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.