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Finding the Fourth Proportional to 202,361.34, 303,556.68 and 77,702.34

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Solution

The fourth proportional to 202,361.34, 303,556.68 and 77,702.34 is: 116,559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,361.34 : 303,556.68 = 77,702.34 : x
  2. Step 2: Convert to fraction form
    202,361.34/303,556.68 = 77,702.34/x
  3. Step 3: Cross multiply
    202,361.34x = 303,556.68 × 77,702.34
  4. Step 4: Simplify right side
    202,361.34x = 23,587,064,358.63
  5. Step 5: Solve for x
    x = 23,587,064,358.63/202,361.34
  6. Step 6: Final answer
    x = 116,559.14

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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.