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Finding the Fourth Proportional to 217,076.42, 325,975.48 and 146,453.40

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Solution

The fourth proportional to 217,076.42, 325,975.48 and 146,453.40 is: 219,923.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,076.42 : 325,975.48 = 146,453.40 : x
  2. Step 2: Convert to fraction form
    217,076.42/325,975.48 = 146,453.40/x
  3. Step 3: Cross multiply
    217,076.42x = 325,975.48 × 146,453.40
  4. Step 4: Simplify right side
    217,076.42x = 47,740,217,362.63
  5. Step 5: Solve for x
    x = 47,740,217,362.63/217,076.42
  6. Step 6: Final answer
    x = 219,923.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.