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Finding the Fourth Proportional to 267,093.74, 368,575.35 and 146,211.87

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Solution

The fourth proportional to 267,093.74, 368,575.35 and 146,211.87 is: 201,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,093.74 : 368,575.35 = 146,211.87 : x
  2. Step 2: Convert to fraction form
    267,093.74/368,575.35 = 146,211.87/x
  3. Step 3: Cross multiply
    267,093.74x = 368,575.35 × 146,211.87
  4. Step 4: Simplify right side
    267,093.74x = 53,890,091,159.40
  5. Step 5: Solve for x
    x = 53,890,091,159.40/267,093.74
  6. Step 6: Final answer
    x = 201,764.71

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Why These Related Problems?

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