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Finding the Fourth Proportional to 137,497.37, 206,238.00 and 37,650.22

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Solution

The fourth proportional to 137,497.37, 206,238.00 and 37,650.22 is: 56,473.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,497.37 : 206,238.00 = 37,650.22 : x
  2. Step 2: Convert to fraction form
    137,497.37/206,238.00 = 37,650.22/x
  3. Step 3: Cross multiply
    137,497.37x = 206,238.00 × 37,650.22
  4. Step 4: Simplify right side
    137,497.37x = 7,764,905,486.17
  5. Step 5: Solve for x
    x = 7,764,905,486.17/137,497.37
  6. Step 6: Final answer
    x = 56,473.12

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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.