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Finding the Fourth Proportional to 267,410.84, 369,027.02 and 146,556.92

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Solution

The fourth proportional to 267,410.84, 369,027.02 and 146,556.92 is: 202,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,410.84 : 369,027.02 = 146,556.92 : x
  2. Step 2: Convert to fraction form
    267,410.84/369,027.02 = 146,556.92/x
  3. Step 3: Cross multiply
    267,410.84x = 369,027.02 × 146,556.92
  4. Step 4: Simplify right side
    267,410.84x = 54,083,463,447.98
  5. Step 5: Solve for x
    x = 54,083,463,447.98/267,410.84
  6. Step 6: Final answer
    x = 202,248.58

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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.