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Finding the Fourth Proportional to 194,643.63, 268,608.42 and 114,055.11

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Solution

The fourth proportional to 194,643.63, 268,608.42 and 114,055.11 is: 157,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,643.63 : 268,608.42 = 114,055.11 : x
  2. Step 2: Convert to fraction form
    194,643.63/268,608.42 = 114,055.11/x
  3. Step 3: Cross multiply
    194,643.63x = 268,608.42 × 114,055.11
  4. Step 4: Simplify right side
    194,643.63x = 30,636,162,890.03
  5. Step 5: Solve for x
    x = 30,636,162,890.03/194,643.63
  6. Step 6: Final answer
    x = 157,396.18

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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.