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Finding the Fourth Proportional to 165,147.72, 247,692.39 and 65,274.72

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Solution

The fourth proportional to 165,147.72, 247,692.39 and 65,274.72 is: 97,900.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,147.72 : 247,692.39 = 65,274.72 : x
  2. Step 2: Convert to fraction form
    165,147.72/247,692.39 = 65,274.72/x
  3. Step 3: Cross multiply
    165,147.72x = 247,692.39 × 65,274.72
  4. Step 4: Simplify right side
    165,147.72x = 16,168,051,403.38
  5. Step 5: Solve for x
    x = 16,168,051,403.38/165,147.72
  6. Step 6: Final answer
    x = 97,900.54

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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.