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Finding the Fourth Proportional to 194,436, 268,321.68 and 105,012

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Solution

The fourth proportional to 194,436, 268,321.68 and 105,012 is: 144,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,436 : 268,321.68 = 105,012 : x
  2. Step 2: Convert to fraction form
    194,436/268,321.68 = 105,012/x
  3. Step 3: Cross multiply
    194,436x = 268,321.68 × 105,012
  4. Step 4: Simplify right side
    194,436x = 28,176,996,260.16
  5. Step 5: Solve for x
    x = 28,176,996,260.16/194,436
  6. Step 6: Final answer
    x = 144,916.56

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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.