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Finding the Fourth Proportional to 210,892.56, 291,022.44 and 129,195.84

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Solution

The fourth proportional to 210,892.56, 291,022.44 and 129,195.84 is: 178,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,892.56 : 291,022.44 = 129,195.84 : x
  2. Step 2: Convert to fraction form
    210,892.56/291,022.44 = 129,195.84/x
  3. Step 3: Cross multiply
    210,892.56x = 291,022.44 × 129,195.84
  4. Step 4: Simplify right side
    210,892.56x = 37,598,888,594.65
  5. Step 5: Solve for x
    x = 37,598,888,594.65/210,892.56
  6. Step 6: Final answer
    x = 178,284.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.