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Finding the Fourth Proportional to 190,898.82, 286,358.13 and 48,745.44

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Solution

The fourth proportional to 190,898.82, 286,358.13 and 48,745.44 is: 73,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,898.82 : 286,358.13 = 48,745.44 : x
  2. Step 2: Convert to fraction form
    190,898.82/286,358.13 = 48,745.44/x
  3. Step 3: Cross multiply
    190,898.82x = 286,358.13 × 48,745.44
  4. Step 4: Simplify right side
    190,898.82x = 13,958,653,044.43
  5. Step 5: Solve for x
    x = 13,958,653,044.43/190,898.82
  6. Step 6: Final answer
    x = 73,120.69

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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.