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Finding the Fourth Proportional to 267,530.94, 369,192.67 and 146,673.07

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Solution

The fourth proportional to 267,530.94, 369,192.67 and 146,673.07 is: 202,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,530.94 : 369,192.67 = 146,673.07 : x
  2. Step 2: Convert to fraction form
    267,530.94/369,192.67 = 146,673.07/x
  3. Step 3: Cross multiply
    267,530.94x = 369,192.67 × 146,673.07
  4. Step 4: Simplify right side
    267,530.94x = 54,150,621,040.73
  5. Step 5: Solve for x
    x = 54,150,621,040.73/267,530.94
  6. Step 6: Final answer
    x = 202,408.82

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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.