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Finding the Fourth Proportional to 137,057, 204,479.80 and 122,097.92

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Solution

The fourth proportional to 137,057, 204,479.80 and 122,097.92 is: 182,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,057 : 204,479.80 = 122,097.92 : x
  2. Step 2: Convert to fraction form
    137,057/204,479.80 = 122,097.92/x
  3. Step 3: Cross multiply
    137,057x = 204,479.80 × 122,097.92
  4. Step 4: Simplify right side
    137,057x = 24,966,558,262.02
  5. Step 5: Solve for x
    x = 24,966,558,262.02/137,057
  6. Step 6: Final answer
    x = 182,161.86

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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.