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Finding the Fourth Proportional to 202,286.16, 303,516.72 and 77,598

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Solution

The fourth proportional to 202,286.16, 303,516.72 and 77,598 is: 116,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,286.16 : 303,516.72 = 77,598 : x
  2. Step 2: Convert to fraction form
    202,286.16/303,516.72 = 77,598/x
  3. Step 3: Cross multiply
    202,286.16x = 303,516.72 × 77,598
  4. Step 4: Simplify right side
    202,286.16x = 23,552,290,438.56
  5. Step 5: Solve for x
    x = 23,552,290,438.56/202,286.16
  6. Step 6: Final answer
    x = 116,430.56

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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.