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Finding the Fourth Proportional to 104,948.62, 144,828.88 and 57,201.82

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Solution

The fourth proportional to 104,948.62, 144,828.88 and 57,201.82 is: 78,938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,948.62 : 144,828.88 = 57,201.82 : x
  2. Step 2: Convert to fraction form
    104,948.62/144,828.88 = 57,201.82/x
  3. Step 3: Cross multiply
    104,948.62x = 144,828.88 × 57,201.82
  4. Step 4: Simplify right side
    104,948.62x = 8,284,475,524.56
  5. Step 5: Solve for x
    x = 8,284,475,524.56/104,948.62
  6. Step 6: Final answer
    x = 78,938.39

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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.