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Finding the Fourth Proportional to 200,919, 301,384.26 and 53,175

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Solution

The fourth proportional to 200,919, 301,384.26 and 53,175 is: 79,764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,919 : 301,384.26 = 53,175 : x
  2. Step 2: Convert to fraction form
    200,919/301,384.26 = 53,175/x
  3. Step 3: Cross multiply
    200,919x = 301,384.26 × 53,175
  4. Step 4: Simplify right side
    200,919x = 16,026,108,025.50
  5. Step 5: Solve for x
    x = 16,026,108,025.50/200,919
  6. Step 6: Final answer
    x = 79,764.02

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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.