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Finding the Fourth Proportional to 235,713, 325,283.94 and 135,169.32

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Solution

The fourth proportional to 235,713, 325,283.94 and 135,169.32 is: 186,533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,713 : 325,283.94 = 135,169.32 : x
  2. Step 2: Convert to fraction form
    235,713/325,283.94 = 135,169.32/x
  3. Step 3: Cross multiply
    235,713x = 325,283.94 × 135,169.32
  4. Step 4: Simplify right side
    235,713x = 43,968,408,976.72
  5. Step 5: Solve for x
    x = 43,968,408,976.72/235,713
  6. Step 6: Final answer
    x = 186,533.66

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Why These Related Problems?

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