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Finding the Fourth Proportional to 192,745.98, 265,985.34 and 106,700.04

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Solution

The fourth proportional to 192,745.98, 265,985.34 and 106,700.04 is: 147,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,745.98 : 265,985.34 = 106,700.04 : x
  2. Step 2: Convert to fraction form
    192,745.98/265,985.34 = 106,700.04/x
  3. Step 3: Cross multiply
    192,745.98x = 265,985.34 × 106,700.04
  4. Step 4: Simplify right side
    192,745.98x = 28,380,646,417.41
  5. Step 5: Solve for x
    x = 28,380,646,417.41/192,745.98
  6. Step 6: Final answer
    x = 147,243.78

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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.