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Finding the Fourth Proportional to 225,400.74, 311,053.14 and 140,518.14

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Solution

The fourth proportional to 225,400.74, 311,053.14 and 140,518.14 is: 193,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,400.74 : 311,053.14 = 140,518.14 : x
  2. Step 2: Convert to fraction form
    225,400.74/311,053.14 = 140,518.14/x
  3. Step 3: Cross multiply
    225,400.74x = 311,053.14 × 140,518.14
  4. Step 4: Simplify right side
    225,400.74x = 43,708,608,673.96
  5. Step 5: Solve for x
    x = 43,708,608,673.96/225,400.74
  6. Step 6: Final answer
    x = 193,915.11

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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.