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Finding the Fourth Proportional to 267,645.96, 401,477.34 and 99,208.44

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Solution

The fourth proportional to 267,645.96, 401,477.34 and 99,208.44 is: 148,815.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,645.96 : 401,477.34 = 99,208.44 : x
  2. Step 2: Convert to fraction form
    267,645.96/401,477.34 = 99,208.44/x
  3. Step 3: Cross multiply
    267,645.96x = 401,477.34 × 99,208.44
  4. Step 4: Simplify right side
    267,645.96x = 39,829,940,596.75
  5. Step 5: Solve for x
    x = 39,829,940,596.75/267,645.96
  6. Step 6: Final answer
    x = 148,815.77

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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.