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Finding the Fourth Proportional to 85,454.76, 117,752.22 and 76,940.04

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Solution

The fourth proportional to 85,454.76, 117,752.22 and 76,940.04 is: 106,019.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,454.76 : 117,752.22 = 76,940.04 : x
  2. Step 2: Convert to fraction form
    85,454.76/117,752.22 = 76,940.04/x
  3. Step 3: Cross multiply
    85,454.76x = 117,752.22 × 76,940.04
  4. Step 4: Simplify right side
    85,454.76x = 9,059,860,516.89
  5. Step 5: Solve for x
    x = 9,059,860,516.89/85,454.76
  6. Step 6: Final answer
    x = 106,019.38

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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.