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Finding the Fourth Proportional to 275,307.60, 412,961.40 and 97,832.55

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Solution

The fourth proportional to 275,307.60, 412,961.40 and 97,832.55 is: 146,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,307.60 : 412,961.40 = 97,832.55 : x
  2. Step 2: Convert to fraction form
    275,307.60/412,961.40 = 97,832.55/x
  3. Step 3: Cross multiply
    275,307.60x = 412,961.40 × 97,832.55
  4. Step 4: Simplify right side
    275,307.60x = 40,401,066,813.57
  5. Step 5: Solve for x
    x = 40,401,066,813.57/275,307.60
  6. Step 6: Final answer
    x = 146,748.83

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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.