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Finding the Fourth Proportional to 202,283.44, 303,464.22 and 77,614.72

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Solution

The fourth proportional to 202,283.44, 303,464.22 and 77,614.72 is: 116,437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,283.44 : 303,464.22 = 77,614.72 : x
  2. Step 2: Convert to fraction form
    202,283.44/303,464.22 = 77,614.72/x
  3. Step 3: Cross multiply
    202,283.44x = 303,464.22 × 77,614.72
  4. Step 4: Simplify right side
    202,283.44x = 23,553,290,465.32
  5. Step 5: Solve for x
    x = 23,553,290,465.32/202,283.44
  6. Step 6: Final answer
    x = 116,437.07

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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.