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Finding the Fourth Proportional to 267,952.86, 369,751.64 and 147,093.98

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Solution

The fourth proportional to 267,952.86, 369,751.64 and 147,093.98 is: 202,976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,952.86 : 369,751.64 = 147,093.98 : x
  2. Step 2: Convert to fraction form
    267,952.86/369,751.64 = 147,093.98/x
  3. Step 3: Cross multiply
    267,952.86x = 369,751.64 × 147,093.98
  4. Step 4: Simplify right side
    267,952.86x = 54,388,237,754.90
  5. Step 5: Solve for x
    x = 54,388,237,754.90/267,952.86
  6. Step 6: Final answer
    x = 202,976.89

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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.