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Finding the Fourth Proportional to 135,521.40, 203,009.94 and 76,268.28

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Solution

The fourth proportional to 135,521.40, 203,009.94 and 76,268.28 is: 114,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,521.40 : 203,009.94 = 76,268.28 : x
  2. Step 2: Convert to fraction form
    135,521.40/203,009.94 = 76,268.28/x
  3. Step 3: Cross multiply
    135,521.40x = 203,009.94 × 76,268.28
  4. Step 4: Simplify right side
    135,521.40x = 15,483,218,946.70
  5. Step 5: Solve for x
    x = 15,483,218,946.70/135,521.40
  6. Step 6: Final answer
    x = 114,249.25

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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.