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Finding the Fourth Proportional to 200,814.73, 301,217.11 and 49,012.92

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Solution

The fourth proportional to 200,814.73, 301,217.11 and 49,012.92 is: 73,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,814.73 : 301,217.11 = 49,012.92 : x
  2. Step 2: Convert to fraction form
    200,814.73/301,217.11 = 49,012.92/x
  3. Step 3: Cross multiply
    200,814.73x = 301,217.11 × 49,012.92
  4. Step 4: Simplify right side
    200,814.73x = 14,763,529,992.53
  5. Step 5: Solve for x
    x = 14,763,529,992.53/200,814.73
  6. Step 6: Final answer
    x = 73,518.16

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1.5x scale

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.