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Finding the Fourth Proportional to 299,109.34, 448,863.53 and 155,147.84

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Solution

The fourth proportional to 299,109.34, 448,863.53 and 155,147.84 is: 232,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,109.34 : 448,863.53 = 155,147.84 : x
  2. Step 2: Convert to fraction form
    299,109.34/448,863.53 = 155,147.84/x
  3. Step 3: Cross multiply
    299,109.34x = 448,863.53 × 155,147.84
  4. Step 4: Simplify right side
    299,109.34x = 69,640,204,114.22
  5. Step 5: Solve for x
    x = 69,640,204,114.22/299,109.34
  6. Step 6: Final answer
    x = 232,825.24

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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.