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Finding the Fourth Proportional to 190,648.01, 285,964.82 and 57,524.71

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Solution

The fourth proportional to 190,648.01, 285,964.82 and 57,524.71 is: 86,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,648.01 : 285,964.82 = 57,524.71 : x
  2. Step 2: Convert to fraction form
    190,648.01/285,964.82 = 57,524.71/x
  3. Step 3: Cross multiply
    190,648.01x = 285,964.82 × 57,524.71
  4. Step 4: Simplify right side
    190,648.01x = 16,450,043,340.70
  5. Step 5: Solve for x
    x = 16,450,043,340.70/190,648.01
  6. Step 6: Final answer
    x = 86,284.89

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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.