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Finding the Fourth Proportional to 106,911.78, 160,403.29 and 35,841.44

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Solution

The fourth proportional to 106,911.78, 160,403.29 and 35,841.44 is: 53,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,911.78 : 160,403.29 = 35,841.44 : x
  2. Step 2: Convert to fraction form
    106,911.78/160,403.29 = 35,841.44/x
  3. Step 3: Cross multiply
    106,911.78x = 160,403.29 × 35,841.44
  4. Step 4: Simplify right side
    106,911.78x = 5,749,084,894.34
  5. Step 5: Solve for x
    x = 5,749,084,894.34/106,911.78
  6. Step 6: Final answer
    x = 53,774.10

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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.