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Finding the Fourth Proportional to 210,754.53, 290,499.84 and 164,734.02

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Solution

The fourth proportional to 210,754.53, 290,499.84 and 164,734.02 is: 227,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,754.53 : 290,499.84 = 164,734.02 : x
  2. Step 2: Convert to fraction form
    210,754.53/290,499.84 = 164,734.02/x
  3. Step 3: Cross multiply
    210,754.53x = 290,499.84 × 164,734.02
  4. Step 4: Simplify right side
    210,754.53x = 47,855,206,452.56
  5. Step 5: Solve for x
    x = 47,855,206,452.56/210,754.53
  6. Step 6: Final answer
    x = 227,066.09

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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.