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Finding the Fourth Proportional to 299,140.86, 448,579.86 and 112,021.14

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Solution

The fourth proportional to 299,140.86, 448,579.86 and 112,021.14 is: 167,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,140.86 : 448,579.86 = 112,021.14 : x
  2. Step 2: Convert to fraction form
    299,140.86/448,579.86 = 112,021.14/x
  3. Step 3: Cross multiply
    299,140.86x = 448,579.86 × 112,021.14
  4. Step 4: Simplify right side
    299,140.86x = 50,250,427,298.24
  5. Step 5: Solve for x
    x = 50,250,427,298.24/299,140.86
  6. Step 6: Final answer
    x = 167,982.49

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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.