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Finding the Fourth Proportional to 194,612.94, 268,566.27 and 105,188.94

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Solution

The fourth proportional to 194,612.94, 268,566.27 and 105,188.94 is: 145,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,612.94 : 268,566.27 = 105,188.94 : x
  2. Step 2: Convert to fraction form
    194,612.94/268,566.27 = 105,188.94/x
  3. Step 3: Cross multiply
    194,612.94x = 268,566.27 × 105,188.94
  4. Step 4: Simplify right side
    194,612.94x = 28,250,201,261.05
  5. Step 5: Solve for x
    x = 28,250,201,261.05/194,612.94
  6. Step 6: Final answer
    x = 145,160.96

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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.