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Finding the Fourth Proportional to 299,848.88, 449,620.50 and 100,097.48

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Solution

The fourth proportional to 299,848.88, 449,620.50 and 100,097.48 is: 150,095.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,848.88 : 449,620.50 = 100,097.48 : x
  2. Step 2: Convert to fraction form
    299,848.88/449,620.50 = 100,097.48/x
  3. Step 3: Cross multiply
    299,848.88x = 449,620.50 × 100,097.48
  4. Step 4: Simplify right side
    299,848.88x = 45,005,879,006.34
  5. Step 5: Solve for x
    x = 45,005,879,006.34/299,848.88
  6. Step 6: Final answer
    x = 150,095.20

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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.