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Finding the Fourth Proportional to 131,515.84, 197,273.76 and 122,068

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Solution

The fourth proportional to 131,515.84, 197,273.76 and 122,068 is: 183,102

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,515.84 : 197,273.76 = 122,068 : x
  2. Step 2: Convert to fraction form
    131,515.84/197,273.76 = 122,068/x
  3. Step 3: Cross multiply
    131,515.84x = 197,273.76 × 122,068
  4. Step 4: Simplify right side
    131,515.84x = 24,080,813,335.68
  5. Step 5: Solve for x
    x = 24,080,813,335.68/131,515.84
  6. Step 6: Final answer
    x = 183,102

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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.