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Finding the Fourth Proportional to 135,880.84, 203,808.30 and 83,263.24

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Solution

The fourth proportional to 135,880.84, 203,808.30 and 83,263.24 is: 124,886.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,880.84 : 203,808.30 = 83,263.24 : x
  2. Step 2: Convert to fraction form
    135,880.84/203,808.30 = 83,263.24/x
  3. Step 3: Cross multiply
    135,880.84x = 203,808.30 × 83,263.24
  4. Step 4: Simplify right side
    135,880.84x = 16,969,739,396.89
  5. Step 5: Solve for x
    x = 16,969,739,396.89/135,880.84
  6. Step 6: Final answer
    x = 124,886.92

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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.