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Finding the Fourth Proportional to 194,472, 268,371.60 and 105,048

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Solution

The fourth proportional to 194,472, 268,371.60 and 105,048 is: 144,966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,472 : 268,371.60 = 105,048 : x
  2. Step 2: Convert to fraction form
    194,472/268,371.60 = 105,048/x
  3. Step 3: Cross multiply
    194,472x = 268,371.60 × 105,048
  4. Step 4: Simplify right side
    194,472x = 28,191,899,836.80
  5. Step 5: Solve for x
    x = 28,191,899,836.80/194,472
  6. Step 6: Final answer
    x = 144,966.37

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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.