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Finding the Fourth Proportional to 190,648.89, 285,975.36 and 57,530.32

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Solution

The fourth proportional to 190,648.89, 285,975.36 and 57,530.32 is: 86,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,648.89 : 285,975.36 = 57,530.32 : x
  2. Step 2: Convert to fraction form
    190,648.89/285,975.36 = 57,530.32/x
  3. Step 3: Cross multiply
    190,648.89x = 285,975.36 × 57,530.32
  4. Step 4: Simplify right side
    190,648.89x = 16,452,253,257.98
  5. Step 5: Solve for x
    x = 16,452,253,257.98/190,648.89
  6. Step 6: Final answer
    x = 86,296.09

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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.