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Finding the Fourth Proportional to 190,649, 285,966.32 and 57,525.72

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Solution

The fourth proportional to 190,649, 285,966.32 and 57,525.72 is: 86,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,649 : 285,966.32 = 57,525.72 : x
  2. Step 2: Convert to fraction form
    190,649/285,966.32 = 57,525.72/x
  3. Step 3: Cross multiply
    190,649x = 285,966.32 × 57,525.72
  4. Step 4: Simplify right side
    190,649x = 16,450,418,453.75
  5. Step 5: Solve for x
    x = 16,450,418,453.75/190,649
  6. Step 6: Final answer
    x = 86,286.41

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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.