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Finding the Fourth Proportional to 137,164.41, 205,725.81 and 37,332.38

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Solution

The fourth proportional to 137,164.41, 205,725.81 and 37,332.38 is: 55,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,164.41 : 205,725.81 = 37,332.38 : x
  2. Step 2: Convert to fraction form
    137,164.41/205,725.81 = 37,332.38/x
  3. Step 3: Cross multiply
    137,164.41x = 205,725.81 × 37,332.38
  4. Step 4: Simplify right side
    137,164.41x = 7,680,234,114.73
  5. Step 5: Solve for x
    x = 7,680,234,114.73/137,164.41
  6. Step 6: Final answer
    x = 55,992.91

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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.