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Finding the Fourth Proportional to 299,190.42, 448,530.54 and 130,584.69

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Solution

The fourth proportional to 299,190.42, 448,530.54 and 130,584.69 is: 195,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,190.42 : 448,530.54 = 130,584.69 : x
  2. Step 2: Convert to fraction form
    299,190.42/448,530.54 = 130,584.69/x
  3. Step 3: Cross multiply
    299,190.42x = 448,530.54 × 130,584.69
  4. Step 4: Simplify right side
    299,190.42x = 58,571,221,521.43
  5. Step 5: Solve for x
    x = 58,571,221,521.43/299,190.42
  6. Step 6: Final answer
    x = 195,765.70

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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.