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Finding the Fourth Proportional to 200,871.42, 301,307.13 and 76,212.42

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Solution

The fourth proportional to 200,871.42, 301,307.13 and 76,212.42 is: 114,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,871.42 : 301,307.13 = 76,212.42 : x
  2. Step 2: Convert to fraction form
    200,871.42/301,307.13 = 76,212.42/x
  3. Step 3: Cross multiply
    200,871.42x = 301,307.13 × 76,212.42
  4. Step 4: Simplify right side
    200,871.42x = 22,963,345,540.55
  5. Step 5: Solve for x
    x = 22,963,345,540.55/200,871.42
  6. Step 6: Final answer
    x = 114,318.63

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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.