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Finding the Fourth Proportional to 203,082.36, 280,283.16 and 117,024.59

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Solution

The fourth proportional to 203,082.36, 280,283.16 and 117,024.59 is: 161,510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,082.36 : 280,283.16 = 117,024.59 : x
  2. Step 2: Convert to fraction form
    203,082.36/280,283.16 = 117,024.59/x
  3. Step 3: Cross multiply
    203,082.36x = 280,283.16 × 117,024.59
  4. Step 4: Simplify right side
    203,082.36x = 32,800,020,481.49
  5. Step 5: Solve for x
    x = 32,800,020,481.49/203,082.36
  6. Step 6: Final answer
    x = 161,510.93

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1.5x scale

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.