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Finding the Fourth Proportional to 190,714.72, 263,189.20 and 105,837.28

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Solution

The fourth proportional to 190,714.72, 263,189.20 and 105,837.28 is: 146,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,714.72 : 263,189.20 = 105,837.28 : x
  2. Step 2: Convert to fraction form
    190,714.72/263,189.20 = 105,837.28/x
  3. Step 3: Cross multiply
    190,714.72x = 263,189.20 × 105,837.28
  4. Step 4: Simplify right side
    190,714.72x = 27,855,229,053.38
  5. Step 5: Solve for x
    x = 27,855,229,053.38/190,714.72
  6. Step 6: Final answer
    x = 146,057.05

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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.