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Finding the Fourth Proportional to 267,886.58, 401,845.25 and 97,145.46

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Solution

The fourth proportional to 267,886.58, 401,845.25 and 97,145.46 is: 145,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,886.58 : 401,845.25 = 97,145.46 : x
  2. Step 2: Convert to fraction form
    267,886.58/401,845.25 = 97,145.46/x
  3. Step 3: Cross multiply
    267,886.58x = 401,845.25 × 97,145.46
  4. Step 4: Simplify right side
    267,886.58x = 39,037,441,902.93
  5. Step 5: Solve for x
    x = 39,037,441,902.93/267,886.58
  6. Step 6: Final answer
    x = 145,723.77

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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.