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Finding the Fourth Proportional to 137,204.51, 205,837.02 and 41,137.91

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Solution

The fourth proportional to 137,204.51, 205,837.02 and 41,137.91 is: 61,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,204.51 : 205,837.02 = 41,137.91 : x
  2. Step 2: Convert to fraction form
    137,204.51/205,837.02 = 41,137.91/x
  3. Step 3: Cross multiply
    137,204.51x = 205,837.02 × 41,137.91
  4. Step 4: Simplify right side
    137,204.51x = 8,467,704,803.43
  5. Step 5: Solve for x
    x = 8,467,704,803.43/137,204.51
  6. Step 6: Final answer
    x = 61,715.94

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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.