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Finding the Fourth Proportional to 202,054.78, 303,082.15 and 89,708.59

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Solution

The fourth proportional to 202,054.78, 303,082.15 and 89,708.59 is: 134,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,054.78 : 303,082.15 = 89,708.59 : x
  2. Step 2: Convert to fraction form
    202,054.78/303,082.15 = 89,708.59/x
  3. Step 3: Cross multiply
    202,054.78x = 303,082.15 × 89,708.59
  4. Step 4: Simplify right side
    202,054.78x = 27,189,072,330.67
  5. Step 5: Solve for x
    x = 27,189,072,330.67/202,054.78
  6. Step 6: Final answer
    x = 134,562.88

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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.