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Finding the Fourth Proportional to 194,718, 268,710.86 and 105,294

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Solution

The fourth proportional to 194,718, 268,710.86 and 105,294 is: 145,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,718 : 268,710.86 = 105,294 : x
  2. Step 2: Convert to fraction form
    194,718/268,710.86 = 105,294/x
  3. Step 3: Cross multiply
    194,718x = 268,710.86 × 105,294
  4. Step 4: Simplify right side
    194,718x = 28,293,640,766.37
  5. Step 5: Solve for x
    x = 28,293,640,766.37/194,718
  6. Step 6: Final answer
    x = 145,305.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.