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Finding the Fourth Proportional to 225,820.89, 311,610.38 and 130,358.34

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Solution

The fourth proportional to 225,820.89, 311,610.38 and 130,358.34 is: 179,881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,820.89 : 311,610.38 = 130,358.34 : x
  2. Step 2: Convert to fraction form
    225,820.89/311,610.38 = 130,358.34/x
  3. Step 3: Cross multiply
    225,820.89x = 311,610.38 × 130,358.34
  4. Step 4: Simplify right side
    225,820.89x = 40,621,011,211.78
  5. Step 5: Solve for x
    x = 40,621,011,211.78/225,820.89
  6. Step 6: Final answer
    x = 179,881.55

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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.