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Finding the Fourth Proportional to 104,846.84, 144,684 and 57,097.32

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Solution

The fourth proportional to 104,846.84, 144,684 and 57,097.32 is: 78,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,846.84 : 144,684 = 57,097.32 : x
  2. Step 2: Convert to fraction form
    104,846.84/144,684 = 57,097.32/x
  3. Step 3: Cross multiply
    104,846.84x = 144,684 × 57,097.32
  4. Step 4: Simplify right side
    104,846.84x = 8,261,068,646.88
  5. Step 5: Solve for x
    x = 8,261,068,646.88/104,846.84
  6. Step 6: Final answer
    x = 78,791.78

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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.