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Finding the Fourth Proportional to 137,056, 204,478.31 and 122,096.92

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Solution

The fourth proportional to 137,056, 204,478.31 and 122,096.92 is: 182,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,056 : 204,478.31 = 122,096.92 : x
  2. Step 2: Convert to fraction form
    137,056/204,478.31 = 122,096.92/x
  3. Step 3: Cross multiply
    137,056x = 204,478.31 × 122,096.92
  4. Step 4: Simplify right side
    137,056x = 24,966,171,857.81
  5. Step 5: Solve for x
    x = 24,966,171,857.81/137,056
  6. Step 6: Final answer
    x = 182,160.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.