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Finding the Fourth Proportional to 194,851.75, 268,896.23 and 105,427.75

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Solution

The fourth proportional to 194,851.75, 268,896.23 and 105,427.75 is: 145,490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,851.75 : 268,896.23 = 105,427.75 : x
  2. Step 2: Convert to fraction form
    194,851.75/268,896.23 = 105,427.75/x
  3. Step 3: Cross multiply
    194,851.75x = 268,896.23 × 105,427.75
  4. Step 4: Simplify right side
    194,851.75x = 28,349,124,512.38
  5. Step 5: Solve for x
    x = 28,349,124,512.38/194,851.75
  6. Step 6: Final answer
    x = 145,490.74

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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.