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Finding the Fourth Proportional to 214,969.82, 296,656.20 and 119,474.60

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Solution

The fourth proportional to 214,969.82, 296,656.20 and 119,474.60 is: 164,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,969.82 : 296,656.20 = 119,474.60 : x
  2. Step 2: Convert to fraction form
    214,969.82/296,656.20 = 119,474.60/x
  3. Step 3: Cross multiply
    214,969.82x = 296,656.20 × 119,474.60
  4. Step 4: Simplify right side
    214,969.82x = 35,442,880,832.52
  5. Step 5: Solve for x
    x = 35,442,880,832.52/214,969.82
  6. Step 6: Final answer
    x = 164,873.75

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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.