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Finding the Fourth Proportional to 202,265.58, 303,441.57 and 77,605.50

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Solution

The fourth proportional to 202,265.58, 303,441.57 and 77,605.50 is: 116,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,265.58 : 303,441.57 = 77,605.50 : x
  2. Step 2: Convert to fraction form
    202,265.58/303,441.57 = 77,605.50/x
  3. Step 3: Cross multiply
    202,265.58x = 303,441.57 × 77,605.50
  4. Step 4: Simplify right side
    202,265.58x = 23,548,734,760.64
  5. Step 5: Solve for x
    x = 23,548,734,760.64/202,265.58
  6. Step 6: Final answer
    x = 116,424.83

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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.