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Finding the Fourth Proportional to 135,107.64, 202,643.22 and 35,274.84

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Solution

The fourth proportional to 135,107.64, 202,643.22 and 35,274.84 is: 52,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,107.64 : 202,643.22 = 35,274.84 : x
  2. Step 2: Convert to fraction form
    135,107.64/202,643.22 = 35,274.84/x
  3. Step 3: Cross multiply
    135,107.64x = 202,643.22 × 35,274.84
  4. Step 4: Simplify right side
    135,107.64x = 7,148,207,162.58
  5. Step 5: Solve for x
    x = 7,148,207,162.58/135,107.64
  6. Step 6: Final answer
    x = 52,907.50

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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.