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Finding the Fourth Proportional to 183,097.22, 274,424.05 and 77,694.76

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Solution

The fourth proportional to 183,097.22, 274,424.05 and 77,694.76 is: 116,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,097.22 : 274,424.05 = 77,694.76 : x
  2. Step 2: Convert to fraction form
    183,097.22/274,424.05 = 77,694.76/x
  3. Step 3: Cross multiply
    183,097.22x = 274,424.05 × 77,694.76
  4. Step 4: Simplify right side
    183,097.22x = 21,321,310,702.98
  5. Step 5: Solve for x
    x = 21,321,310,702.98/183,097.22
  6. Step 6: Final answer
    x = 116,448.03

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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.