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Finding the Fourth Proportional to 214,585.56, 296,131.32 and 119,098.44

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Solution

The fourth proportional to 214,585.56, 296,131.32 and 119,098.44 is: 164,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,585.56 : 296,131.32 = 119,098.44 : x
  2. Step 2: Convert to fraction form
    214,585.56/296,131.32 = 119,098.44/x
  3. Step 3: Cross multiply
    214,585.56x = 296,131.32 × 119,098.44
  4. Step 4: Simplify right side
    214,585.56x = 35,268,778,247.14
  5. Step 5: Solve for x
    x = 35,268,778,247.14/214,585.56
  6. Step 6: Final answer
    x = 164,357.65

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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.