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Finding the Fourth Proportional to 85,396.26, 117,585.96 and 77,386.38

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Solution

The fourth proportional to 85,396.26, 117,585.96 and 77,386.38 is: 106,556.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,396.26 : 117,585.96 = 77,386.38 : x
  2. Step 2: Convert to fraction form
    85,396.26/117,585.96 = 77,386.38/x
  3. Step 3: Cross multiply
    85,396.26x = 117,585.96 × 77,386.38
  4. Step 4: Simplify right side
    85,396.26x = 9,099,551,783.22
  5. Step 5: Solve for x
    x = 9,099,551,783.22/85,396.26
  6. Step 6: Final answer
    x = 106,556.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.