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Finding the Fourth Proportional to 194,989.98, 269,087.95 and 114,418.85

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Solution

The fourth proportional to 194,989.98, 269,087.95 and 114,418.85 is: 157,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,989.98 : 269,087.95 = 114,418.85 : x
  2. Step 2: Convert to fraction form
    194,989.98/269,087.95 = 114,418.85/x
  3. Step 3: Cross multiply
    194,989.98x = 269,087.95 × 114,418.85
  4. Step 4: Simplify right side
    194,989.98x = 30,788,732,442.42
  5. Step 5: Solve for x
    x = 30,788,732,442.42/194,989.98
  6. Step 6: Final answer
    x = 157,899.05

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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.