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Finding the Fourth Proportional to 194,710.29, 268,821.84 and 149,301.03

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Solution

The fourth proportional to 194,710.29, 268,821.84 and 149,301.03 is: 206,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,710.29 : 268,821.84 = 149,301.03 : x
  2. Step 2: Convert to fraction form
    194,710.29/268,821.84 = 149,301.03/x
  3. Step 3: Cross multiply
    194,710.29x = 268,821.84 × 149,301.03
  4. Step 4: Simplify right side
    194,710.29x = 40,135,377,598.50
  5. Step 5: Solve for x
    x = 40,135,377,598.50/194,710.29
  6. Step 6: Final answer
    x = 206,128.69

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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.