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Finding the Fourth Proportional to 135,351.39, 186,768.40 and 78,009.26

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Solution

The fourth proportional to 135,351.39, 186,768.40 and 78,009.26 is: 107,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,351.39 : 186,768.40 = 78,009.26 : x
  2. Step 2: Convert to fraction form
    135,351.39/186,768.40 = 78,009.26/x
  3. Step 3: Cross multiply
    135,351.39x = 186,768.40 × 78,009.26
  4. Step 4: Simplify right side
    135,351.39x = 14,569,664,675.38
  5. Step 5: Solve for x
    x = 14,569,664,675.38/135,351.39
  6. Step 6: Final answer
    x = 107,643.26

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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.