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Finding the Fourth Proportional to 215,082.90, 296,813.40 and 119,583.90

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Solution

The fourth proportional to 215,082.90, 296,813.40 and 119,583.90 is: 165,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,082.90 : 296,813.40 = 119,583.90 : x
  2. Step 2: Convert to fraction form
    215,082.90/296,813.40 = 119,583.90/x
  3. Step 3: Cross multiply
    215,082.90x = 296,813.40 × 119,583.90
  4. Step 4: Simplify right side
    215,082.90x = 35,494,103,944.26
  5. Step 5: Solve for x
    x = 35,494,103,944.26/215,082.90
  6. Step 6: Final answer
    x = 165,025.22

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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.