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Finding the Fourth Proportional to 194,613.84, 268,570.08 and 114,022.08

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Solution

The fourth proportional to 194,613.84, 268,570.08 and 114,022.08 is: 157,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,613.84 : 268,570.08 = 114,022.08 : x
  2. Step 2: Convert to fraction form
    194,613.84/268,570.08 = 114,022.08/x
  3. Step 3: Cross multiply
    194,613.84x = 268,570.08 × 114,022.08
  4. Step 4: Simplify right side
    194,613.84x = 30,622,919,147.37
  5. Step 5: Solve for x
    x = 30,622,919,147.37/194,613.84
  6. Step 6: Final answer
    x = 157,352.22

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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.