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Finding the Fourth Proportional to 283,667, 425,573.42 and 106,176.56

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Solution

The fourth proportional to 283,667, 425,573.42 and 106,176.56 is: 159,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,667 : 425,573.42 = 106,176.56 : x
  2. Step 2: Convert to fraction form
    283,667/425,573.42 = 106,176.56/x
  3. Step 3: Cross multiply
    283,667x = 425,573.42 × 106,176.56
  4. Step 4: Simplify right side
    283,667x = 45,185,921,763.04
  5. Step 5: Solve for x
    x = 45,185,921,763.04/283,667
  6. Step 6: Final answer
    x = 159,292.13

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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.