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Finding the Fourth Proportional to 214,507.36, 296,034.06 and 119,024.56

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Solution

The fourth proportional to 214,507.36, 296,034.06 and 119,024.56 is: 164,261.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,507.36 : 296,034.06 = 119,024.56 : x
  2. Step 2: Convert to fraction form
    214,507.36/296,034.06 = 119,024.56/x
  3. Step 3: Cross multiply
    214,507.36x = 296,034.06 × 119,024.56
  4. Step 4: Simplify right side
    214,507.36x = 35,235,323,736.51
  5. Step 5: Solve for x
    x = 35,235,323,736.51/214,507.36
  6. Step 6: Final answer
    x = 164,261.61

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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.