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Finding the Fourth Proportional to 194,536.84, 268,460.76 and 105,112.84

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Solution

The fourth proportional to 194,536.84, 268,460.76 and 105,112.84 is: 145,055.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,536.84 : 268,460.76 = 105,112.84 : x
  2. Step 2: Convert to fraction form
    194,536.84/268,460.76 = 105,112.84/x
  3. Step 3: Cross multiply
    194,536.84x = 268,460.76 × 105,112.84
  4. Step 4: Simplify right side
    194,536.84x = 28,218,672,912.16
  5. Step 5: Solve for x
    x = 28,218,672,912.16/194,536.84
  6. Step 6: Final answer
    x = 145,055.68

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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.