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Finding the Fourth Proportional to 225,709.02, 311,263.56 and 135,050.58

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Solution

The fourth proportional to 225,709.02, 311,263.56 and 135,050.58 is: 186,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,709.02 : 311,263.56 = 135,050.58 : x
  2. Step 2: Convert to fraction form
    225,709.02/311,263.56 = 135,050.58/x
  3. Step 3: Cross multiply
    225,709.02x = 311,263.56 × 135,050.58
  4. Step 4: Simplify right side
    225,709.02x = 42,036,324,310.86
  5. Step 5: Solve for x
    x = 42,036,324,310.86/225,709.02
  6. Step 6: Final answer
    x = 186,241.22

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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.