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Finding the Fourth Proportional to 202,285, 303,442.08 and 77,626

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Solution

The fourth proportional to 202,285, 303,442.08 and 77,626 is: 116,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,285 : 303,442.08 = 77,626 : x
  2. Step 2: Convert to fraction form
    202,285/303,442.08 = 77,626/x
  3. Step 3: Cross multiply
    202,285x = 303,442.08 × 77,626
  4. Step 4: Simplify right side
    202,285x = 23,554,994,902.08
  5. Step 5: Solve for x
    x = 23,554,994,902.08/202,285
  6. Step 6: Final answer
    x = 116,444.60

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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.