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Finding the Fourth Proportional to 283,999.21, 425,873.51 and 106,381.60

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Solution

The fourth proportional to 283,999.21, 425,873.51 and 106,381.60 is: 159,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,999.21 : 425,873.51 = 106,381.60 : x
  2. Step 2: Convert to fraction form
    283,999.21/425,873.51 = 106,381.60/x
  3. Step 3: Cross multiply
    283,999.21x = 425,873.51 × 106,381.60
  4. Step 4: Simplify right side
    283,999.21x = 45,305,103,794.82
  5. Step 5: Solve for x
    x = 45,305,103,794.82/283,999.21
  6. Step 6: Final answer
    x = 159,525.46

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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.