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Finding the Fourth Proportional to 186,454.16, 279,573.24 and 127,361.24

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Solution

The fourth proportional to 186,454.16, 279,573.24 and 127,361.24 is: 190,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,454.16 : 279,573.24 = 127,361.24 : x
  2. Step 2: Convert to fraction form
    186,454.16/279,573.24 = 127,361.24/x
  3. Step 3: Cross multiply
    186,454.16x = 279,573.24 × 127,361.24
  4. Step 4: Simplify right side
    186,454.16x = 35,606,794,517.22
  5. Step 5: Solve for x
    x = 35,606,794,517.22/186,454.16
  6. Step 6: Final answer
    x = 190,968.09

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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.