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Finding the Fourth Proportional to 301,206.95, 415,946.87 and 193,965.58

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Solution

The fourth proportional to 301,206.95, 415,946.87 and 193,965.58 is: 267,853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,206.95 : 415,946.87 = 193,965.58 : x
  2. Step 2: Convert to fraction form
    301,206.95/415,946.87 = 193,965.58/x
  3. Step 3: Cross multiply
    301,206.95x = 415,946.87 × 193,965.58
  4. Step 4: Simplify right side
    301,206.95x = 80,679,375,333.78
  5. Step 5: Solve for x
    x = 80,679,375,333.78/301,206.95
  6. Step 6: Final answer
    x = 267,853.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.