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Finding the Fourth Proportional to 299,122.34, 448,770.41 and 96,714.14

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Solution

The fourth proportional to 299,122.34, 448,770.41 and 96,714.14 is: 145,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,122.34 : 448,770.41 = 96,714.14 : x
  2. Step 2: Convert to fraction form
    299,122.34/448,770.41 = 96,714.14/x
  3. Step 3: Cross multiply
    299,122.34x = 448,770.41 × 96,714.14
  4. Step 4: Simplify right side
    299,122.34x = 43,402,443,777.03
  5. Step 5: Solve for x
    x = 43,402,443,777.03/299,122.34
  6. Step 6: Final answer
    x = 145,099.31

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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.