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Finding the Fourth Proportional to 194,478.16, 268,379.84 and 105,054.16

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Solution

The fourth proportional to 194,478.16, 268,379.84 and 105,054.16 is: 144,974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,478.16 : 268,379.84 = 105,054.16 : x
  2. Step 2: Convert to fraction form
    194,478.16/268,379.84 = 105,054.16/x
  3. Step 3: Cross multiply
    194,478.16x = 268,379.84 × 105,054.16
  4. Step 4: Simplify right side
    194,478.16x = 28,194,418,652.13
  5. Step 5: Solve for x
    x = 28,194,418,652.13/194,478.16
  6. Step 6: Final answer
    x = 144,974.73

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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.