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Finding the Fourth Proportional to 299,820.70, 449,903.85 and 112,966.30

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Solution

The fourth proportional to 299,820.70, 449,903.85 and 112,966.30 is: 169,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,820.70 : 449,903.85 = 112,966.30 : x
  2. Step 2: Convert to fraction form
    299,820.70/449,903.85 = 112,966.30/x
  3. Step 3: Cross multiply
    299,820.70x = 449,903.85 × 112,966.30
  4. Step 4: Simplify right side
    299,820.70x = 50,823,973,290.26
  5. Step 5: Solve for x
    x = 50,823,973,290.26/299,820.70
  6. Step 6: Final answer
    x = 169,514.56

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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.