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Finding the Fourth Proportional to 202,024.37, 303,034.55 and 77,365.37

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Solution

The fourth proportional to 202,024.37, 303,034.55 and 77,365.37 is: 116,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,024.37 : 303,034.55 = 77,365.37 : x
  2. Step 2: Convert to fraction form
    202,024.37/303,034.55 = 77,365.37/x
  3. Step 3: Cross multiply
    202,024.37x = 303,034.55 × 77,365.37
  4. Step 4: Simplify right side
    202,024.37x = 23,444,378,181.53
  5. Step 5: Solve for x
    x = 23,444,378,181.53/202,024.37
  6. Step 6: Final answer
    x = 116,047.28

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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.