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Finding the Fourth Proportional to 208,082.14, 312,121.23 and 65,927.02

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Solution

The fourth proportional to 208,082.14, 312,121.23 and 65,927.02 is: 98,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,082.14 : 312,121.23 = 65,927.02 : x
  2. Step 2: Convert to fraction form
    208,082.14/312,121.23 = 65,927.02/x
  3. Step 3: Cross multiply
    208,082.14x = 312,121.23 × 65,927.02
  4. Step 4: Simplify right side
    208,082.14x = 20,577,222,572.63
  5. Step 5: Solve for x
    x = 20,577,222,572.63/208,082.14
  6. Step 6: Final answer
    x = 98,889.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.