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Finding the Fourth Proportional to 301,839.41, 452,754.46 and 77,197.86

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Solution

The fourth proportional to 301,839.41, 452,754.46 and 77,197.86 is: 115,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,839.41 : 452,754.46 = 77,197.86 : x
  2. Step 2: Convert to fraction form
    301,839.41/452,754.46 = 77,197.86/x
  3. Step 3: Cross multiply
    301,839.41x = 452,754.46 × 77,197.86
  4. Step 4: Simplify right side
    301,839.41x = 34,951,675,513.95
  5. Step 5: Solve for x
    x = 34,951,675,513.95/301,839.41
  6. Step 6: Final answer
    x = 115,795.60

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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.