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Finding the Fourth Proportional to 202,297.16, 303,533.22 and 77,609

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Solution

The fourth proportional to 202,297.16, 303,533.22 and 77,609 is: 116,447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,297.16 : 303,533.22 = 77,609 : x
  2. Step 2: Convert to fraction form
    202,297.16/303,533.22 = 77,609/x
  3. Step 3: Cross multiply
    202,297.16x = 303,533.22 × 77,609
  4. Step 4: Simplify right side
    202,297.16x = 23,556,909,670.98
  5. Step 5: Solve for x
    x = 23,556,909,670.98/202,297.16
  6. Step 6: Final answer
    x = 116,447.06

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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.