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Finding the Fourth Proportional to 229,077.10, 316,164.32 and 127,135.31

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Solution

The fourth proportional to 229,077.10, 316,164.32 and 127,135.31 is: 175,467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,077.10 : 316,164.32 = 127,135.31 : x
  2. Step 2: Convert to fraction form
    229,077.10/316,164.32 = 127,135.31/x
  3. Step 3: Cross multiply
    229,077.10x = 316,164.32 × 127,135.31
  4. Step 4: Simplify right side
    229,077.10x = 40,195,647,571.16
  5. Step 5: Solve for x
    x = 40,195,647,571.16/229,077.10
  6. Step 6: Final answer
    x = 175,467.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.