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Finding the Fourth Proportional to 306,974.54, 460,564.28 and 136,172.69

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Solution

The fourth proportional to 306,974.54, 460,564.28 and 136,172.69 is: 204,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,974.54 : 460,564.28 = 136,172.69 : x
  2. Step 2: Convert to fraction form
    306,974.54/460,564.28 = 136,172.69/x
  3. Step 3: Cross multiply
    306,974.54x = 460,564.28 × 136,172.69
  4. Step 4: Simplify right side
    306,974.54x = 62,716,274,963.12
  5. Step 5: Solve for x
    x = 62,716,274,963.12/306,974.54
  6. Step 6: Final answer
    x = 204,304.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.