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Finding the Fourth Proportional to 137,475.65, 206,213.54 and 37,636.67

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Solution

The fourth proportional to 137,475.65, 206,213.54 and 37,636.67 is: 56,455.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,475.65 : 206,213.54 = 37,636.67 : x
  2. Step 2: Convert to fraction form
    137,475.65/206,213.54 = 37,636.67/x
  3. Step 3: Cross multiply
    137,475.65x = 206,213.54 × 37,636.67
  4. Step 4: Simplify right side
    137,475.65x = 7,761,189,735.26
  5. Step 5: Solve for x
    x = 7,761,189,735.26/137,475.65
  6. Step 6: Final answer
    x = 56,455.02

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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.