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Finding the Fourth Proportional to 202,023.62, 303,033.42 and 77,364.62

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Solution

The fourth proportional to 202,023.62, 303,033.42 and 77,364.62 is: 116,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,023.62 : 303,033.42 = 77,364.62 : x
  2. Step 2: Convert to fraction form
    202,023.62/303,033.42 = 77,364.62/x
  3. Step 3: Cross multiply
    202,023.62x = 303,033.42 × 77,364.62
  4. Step 4: Simplify right side
    202,023.62x = 23,444,063,870.43
  5. Step 5: Solve for x
    x = 23,444,063,870.43/202,023.62
  6. Step 6: Final answer
    x = 116,046.16

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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.