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Finding the Fourth Proportional to 384,192.50, 576,223.74 and 140,983.52

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Solution

The fourth proportional to 384,192.50, 576,223.74 and 140,983.52 is: 211,451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,192.50 : 576,223.74 = 140,983.52 : x
  2. Step 2: Convert to fraction form
    384,192.50/576,223.74 = 140,983.52/x
  3. Step 3: Cross multiply
    384,192.50x = 576,223.74 × 140,983.52
  4. Step 4: Simplify right side
    384,192.50x = 81,238,048,291.65
  5. Step 5: Solve for x
    x = 81,238,048,291.65/384,192.50
  6. Step 6: Final answer
    x = 211,451.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.