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Finding the Fourth Proportional to 301,098.75, 415,516.28 and 166,962.75

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Solution

The fourth proportional to 301,098.75, 415,516.28 and 166,962.75 is: 230,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,098.75 : 415,516.28 = 166,962.75 : x
  2. Step 2: Convert to fraction form
    301,098.75/415,516.28 = 166,962.75/x
  3. Step 3: Cross multiply
    301,098.75x = 415,516.28 × 166,962.75
  4. Step 4: Simplify right side
    301,098.75x = 69,375,739,943.76
  5. Step 5: Solve for x
    x = 69,375,739,943.76/301,098.75
  6. Step 6: Final answer
    x = 230,408.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.