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Finding the Fourth Proportional to 135,646.40, 203,466.40 and 37,150.40

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Solution

The fourth proportional to 135,646.40, 203,466.40 and 37,150.40 is: 55,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,646.40 : 203,466.40 = 37,150.40 : x
  2. Step 2: Convert to fraction form
    135,646.40/203,466.40 = 37,150.40/x
  3. Step 3: Cross multiply
    135,646.40x = 203,466.40 × 37,150.40
  4. Step 4: Simplify right side
    135,646.40x = 7,558,858,146.56
  5. Step 5: Solve for x
    x = 7,558,858,146.56/135,646.40
  6. Step 6: Final answer
    x = 55,724.72

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1.5x scale

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.