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Finding the Fourth Proportional to 200,803.05, 301,214.43 and 51,044.58

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Solution

The fourth proportional to 200,803.05, 301,214.43 and 51,044.58 is: 76,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,803.05 : 301,214.43 = 51,044.58 : x
  2. Step 2: Convert to fraction form
    200,803.05/301,214.43 = 51,044.58/x
  3. Step 3: Cross multiply
    200,803.05x = 301,214.43 × 51,044.58
  4. Step 4: Simplify right side
    200,803.05x = 15,375,364,069.29
  5. Step 5: Solve for x
    x = 15,375,364,069.29/200,803.05
  6. Step 6: Final answer
    x = 76,569.38

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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.