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Finding the Fourth Proportional to 202,146.08, 303,249.45 and 65,323.58

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Solution

The fourth proportional to 202,146.08, 303,249.45 and 65,323.58 is: 97,995.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,146.08 : 303,249.45 = 65,323.58 : x
  2. Step 2: Convert to fraction form
    202,146.08/303,249.45 = 65,323.58/x
  3. Step 3: Cross multiply
    202,146.08x = 303,249.45 × 65,323.58
  4. Step 4: Simplify right side
    202,146.08x = 19,809,339,707.03
  5. Step 5: Solve for x
    x = 19,809,339,707.03/202,146.08
  6. Step 6: Final answer
    x = 97,995.17

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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.