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Finding the Fourth Proportional to 194,915.95, 268,983.91 and 105,491.95

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Solution

The fourth proportional to 194,915.95, 268,983.91 and 105,491.95 is: 145,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,915.95 : 268,983.91 = 105,491.95 : x
  2. Step 2: Convert to fraction form
    194,915.95/268,983.91 = 105,491.95/x
  3. Step 3: Cross multiply
    194,915.95x = 268,983.91 × 105,491.95
  4. Step 4: Simplify right side
    194,915.95x = 28,375,637,184.52
  5. Step 5: Solve for x
    x = 28,375,637,184.52/194,915.95
  6. Step 6: Final answer
    x = 145,578.84

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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.