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Finding the Fourth Proportional to 137,506.68, 206,260.20 and 37,667.75

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Solution

The fourth proportional to 137,506.68, 206,260.20 and 37,667.75 is: 56,501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,506.68 : 206,260.20 = 37,667.75 : x
  2. Step 2: Convert to fraction form
    137,506.68/206,260.20 = 37,667.75/x
  3. Step 3: Cross multiply
    137,506.68x = 206,260.20 × 37,667.75
  4. Step 4: Simplify right side
    137,506.68x = 7,769,357,249.47
  5. Step 5: Solve for x
    x = 7,769,357,249.47/137,506.68
  6. Step 6: Final answer
    x = 56,501.67

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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.