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Finding the Fourth Proportional to 299,114.40, 448,844.40 and 112,144.80

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Solution

The fourth proportional to 299,114.40, 448,844.40 and 112,144.80 is: 168,281.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,114.40 : 448,844.40 = 112,144.80 : x
  2. Step 2: Convert to fraction form
    299,114.40/448,844.40 = 112,144.80/x
  3. Step 3: Cross multiply
    299,114.40x = 448,844.40 × 112,144.80
  4. Step 4: Simplify right side
    299,114.40x = 50,335,565,469.12
  5. Step 5: Solve for x
    x = 50,335,565,469.12/299,114.40
  6. Step 6: Final answer
    x = 168,281.99

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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.