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Finding the Fourth Proportional to 200,890.69, 301,337.84 and 51,131.14

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Solution

The fourth proportional to 200,890.69, 301,337.84 and 51,131.14 is: 76,697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,890.69 : 301,337.84 = 51,131.14 : x
  2. Step 2: Convert to fraction form
    200,890.69/301,337.84 = 51,131.14/x
  3. Step 3: Cross multiply
    200,890.69x = 301,337.84 × 51,131.14
  4. Step 4: Simplify right side
    200,890.69x = 15,407,746,658.82
  5. Step 5: Solve for x
    x = 15,407,746,658.82/200,890.69
  6. Step 6: Final answer
    x = 76,697.17

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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.