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Finding the Fourth Proportional to 194,915.50, 268,983.40 and 105,491.50

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Solution

The fourth proportional to 194,915.50, 268,983.40 and 105,491.50 is: 145,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,915.50 : 268,983.40 = 105,491.50 : x
  2. Step 2: Convert to fraction form
    194,915.50/268,983.40 = 105,491.50/x
  3. Step 3: Cross multiply
    194,915.50x = 268,983.40 × 105,491.50
  4. Step 4: Simplify right side
    194,915.50x = 28,375,462,341.10
  5. Step 5: Solve for x
    x = 28,375,462,341.10/194,915.50
  6. Step 6: Final answer
    x = 145,578.28

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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.