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Finding the Fourth Proportional to 183,098.72, 274,426.28 and 77,696.28

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Solution

The fourth proportional to 183,098.72, 274,426.28 and 77,696.28 is: 116,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,098.72 : 274,426.28 = 77,696.28 : x
  2. Step 2: Convert to fraction form
    183,098.72/274,426.28 = 77,696.28/x
  3. Step 3: Cross multiply
    183,098.72x = 274,426.28 × 77,696.28
  4. Step 4: Simplify right side
    183,098.72x = 21,321,901,090.24
  5. Step 5: Solve for x
    x = 21,321,901,090.24/183,098.72
  6. Step 6: Final answer
    x = 116,450.30

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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.