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Finding the Fourth Proportional to 102,119.19, 140,992.97 and 91,330.53

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Solution

The fourth proportional to 102,119.19, 140,992.97 and 91,330.53 is: 126,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,119.19 : 140,992.97 = 91,330.53 : x
  2. Step 2: Convert to fraction form
    102,119.19/140,992.97 = 91,330.53/x
  3. Step 3: Cross multiply
    102,119.19x = 140,992.97 × 91,330.53
  4. Step 4: Simplify right side
    102,119.19x = 12,876,962,219.72
  5. Step 5: Solve for x
    x = 12,876,962,219.72/102,119.19
  6. Step 6: Final answer
    x = 126,097.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.