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Finding the Fourth Proportional to 194,450, 268,341.18 and 105,026

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Solution

The fourth proportional to 194,450, 268,341.18 and 105,026 is: 144,935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,450 : 268,341.18 = 105,026 : x
  2. Step 2: Convert to fraction form
    194,450/268,341.18 = 105,026/x
  3. Step 3: Cross multiply
    194,450x = 268,341.18 × 105,026
  4. Step 4: Simplify right side
    194,450x = 28,182,800,770.68
  5. Step 5: Solve for x
    x = 28,182,800,770.68/194,450
  6. Step 6: Final answer
    x = 144,935.98

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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.