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Finding the Fourth Proportional to 214,583.97, 296,130.75 and 119,096.82

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Solution

The fourth proportional to 214,583.97, 296,130.75 and 119,096.82 is: 164,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,583.97 : 296,130.75 = 119,096.82 : x
  2. Step 2: Convert to fraction form
    214,583.97/296,130.75 = 119,096.82/x
  3. Step 3: Cross multiply
    214,583.97x = 296,130.75 × 119,096.82
  4. Step 4: Simplify right side
    214,583.97x = 35,268,230,629.22
  5. Step 5: Solve for x
    x = 35,268,230,629.22/214,583.97
  6. Step 6: Final answer
    x = 164,356.32

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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.