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Finding the Fourth Proportional to 299,097.14, 448,690.52 and 96,625.59

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Solution

The fourth proportional to 299,097.14, 448,690.52 and 96,625.59 is: 144,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,097.14 : 448,690.52 = 96,625.59 : x
  2. Step 2: Convert to fraction form
    299,097.14/448,690.52 = 96,625.59/x
  3. Step 3: Cross multiply
    299,097.14x = 448,690.52 × 96,625.59
  4. Step 4: Simplify right side
    299,097.14x = 43,354,985,739.28
  5. Step 5: Solve for x
    x = 43,354,985,739.28/299,097.14
  6. Step 6: Final answer
    x = 144,952.86

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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.