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Finding the Fourth Proportional to 301,843.23, 452,830.19 and 91,497.03

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Solution

The fourth proportional to 301,843.23, 452,830.19 and 91,497.03 is: 137,265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,843.23 : 452,830.19 = 91,497.03 : x
  2. Step 2: Convert to fraction form
    301,843.23/452,830.19 = 91,497.03/x
  3. Step 3: Cross multiply
    301,843.23x = 452,830.19 × 91,497.03
  4. Step 4: Simplify right side
    301,843.23x = 41,432,617,021.85
  5. Step 5: Solve for x
    x = 41,432,617,021.85/301,843.23
  6. Step 6: Final answer
    x = 137,265.35

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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.