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Finding the Fourth Proportional to 188,735.34, 260,452.58 and 102,696.86

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Solution

The fourth proportional to 188,735.34, 260,452.58 and 102,696.86 is: 141,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,735.34 : 260,452.58 = 102,696.86 : x
  2. Step 2: Convert to fraction form
    188,735.34/260,452.58 = 102,696.86/x
  3. Step 3: Cross multiply
    188,735.34x = 260,452.58 × 102,696.86
  4. Step 4: Simplify right side
    188,735.34x = 26,747,662,144.90
  5. Step 5: Solve for x
    x = 26,747,662,144.90/188,735.34
  6. Step 6: Final answer
    x = 141,720.48

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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.