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Finding the Fourth Proportional to 135,880.40, 203,417.40 and 100,974.80

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Solution

The fourth proportional to 135,880.40, 203,417.40 and 100,974.80 is: 151,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,880.40 : 203,417.40 = 100,974.80 : x
  2. Step 2: Convert to fraction form
    135,880.40/203,417.40 = 100,974.80/x
  3. Step 3: Cross multiply
    135,880.40x = 203,417.40 × 100,974.80
  4. Step 4: Simplify right side
    135,880.40x = 20,540,031,281.52
  5. Step 5: Solve for x
    x = 20,540,031,281.52/135,880.40
  6. Step 6: Final answer
    x = 151,162.58

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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.