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Finding the Fourth Proportional to 299,853.68, 449,780.44 and 78,237.68

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Solution

The fourth proportional to 299,853.68, 449,780.44 and 78,237.68 is: 117,356.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,853.68 : 449,780.44 = 78,237.68 : x
  2. Step 2: Convert to fraction form
    299,853.68/449,780.44 = 78,237.68/x
  3. Step 3: Cross multiply
    299,853.68x = 449,780.44 × 78,237.68
  4. Step 4: Simplify right side
    299,853.68x = 35,189,778,134.98
  5. Step 5: Solve for x
    x = 35,189,778,134.98/299,853.68
  6. Step 6: Final answer
    x = 117,356.50

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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.