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Finding the Fourth Proportional to 190,649.52, 285,976.30 and 57,530.94

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Solution

The fourth proportional to 190,649.52, 285,976.30 and 57,530.94 is: 86,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,649.52 : 285,976.30 = 57,530.94 : x
  2. Step 2: Convert to fraction form
    190,649.52/285,976.30 = 57,530.94/x
  3. Step 3: Cross multiply
    190,649.52x = 285,976.30 × 57,530.94
  4. Step 4: Simplify right side
    190,649.52x = 16,452,485,356.72
  5. Step 5: Solve for x
    x = 16,452,485,356.72/190,649.52
  6. Step 6: Final answer
    x = 86,297.02

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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.