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Finding the Fourth Proportional to 141,137.37, 194,768.75 and 76,607.84

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Solution

The fourth proportional to 141,137.37, 194,768.75 and 76,607.84 is: 105,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,137.37 : 194,768.75 = 76,607.84 : x
  2. Step 2: Convert to fraction form
    141,137.37/194,768.75 = 76,607.84/x
  3. Step 3: Cross multiply
    141,137.37x = 194,768.75 × 76,607.84
  4. Step 4: Simplify right side
    141,137.37x = 14,920,813,915.44
  5. Step 5: Solve for x
    x = 14,920,813,915.44/141,137.37
  6. Step 6: Final answer
    x = 105,718.38

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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.