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Finding the Fourth Proportional to 299,784.98, 449,666.76 and 75,147.27

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Solution

The fourth proportional to 299,784.98, 449,666.76 and 75,147.27 is: 112,718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,784.98 : 449,666.76 = 75,147.27 : x
  2. Step 2: Convert to fraction form
    299,784.98/449,666.76 = 75,147.27/x
  3. Step 3: Cross multiply
    299,784.98x = 449,666.76 × 75,147.27
  4. Step 4: Simplify right side
    299,784.98x = 33,791,229,423.75
  5. Step 5: Solve for x
    x = 33,791,229,423.75/299,784.98
  6. Step 6: Final answer
    x = 112,718.22

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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.