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Finding the Fourth Proportional to 225,698.75, 311,464.32 and 125,096.75

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Solution

The fourth proportional to 225,698.75, 311,464.32 and 125,096.75 is: 172,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,698.75 : 311,464.32 = 125,096.75 : x
  2. Step 2: Convert to fraction form
    225,698.75/311,464.32 = 125,096.75/x
  3. Step 3: Cross multiply
    225,698.75x = 311,464.32 × 125,096.75
  4. Step 4: Simplify right side
    225,698.75x = 38,963,174,172.96
  5. Step 5: Solve for x
    x = 38,963,174,172.96/225,698.75
  6. Step 6: Final answer
    x = 172,633.54

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1.5x scale

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.