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Finding the Fourth Proportional to 265,117, 365,861.46 and 145,885

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Solution

The fourth proportional to 265,117, 365,861.46 and 145,885 is: 201,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,117 : 365,861.46 = 145,885 : x
  2. Step 2: Convert to fraction form
    265,117/365,861.46 = 145,885/x
  3. Step 3: Cross multiply
    265,117x = 365,861.46 × 145,885
  4. Step 4: Simplify right side
    265,117x = 53,373,699,092.10
  5. Step 5: Solve for x
    x = 53,373,699,092.10/265,117
  6. Step 6: Final answer
    x = 201,321.30

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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.