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Finding the Fourth Proportional to 299,763.32, 449,641.74 and 75,121.16

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Solution

The fourth proportional to 299,763.32, 449,641.74 and 75,121.16 is: 112,680.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,763.32 : 449,641.74 = 75,121.16 : x
  2. Step 2: Convert to fraction form
    299,763.32/449,641.74 = 75,121.16/x
  3. Step 3: Cross multiply
    299,763.32x = 449,641.74 × 75,121.16
  4. Step 4: Simplify right side
    299,763.32x = 33,777,609,093.22
  5. Step 5: Solve for x
    x = 33,777,609,093.22/299,763.32
  6. Step 6: Final answer
    x = 112,680.93

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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.