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Finding the Fourth Proportional to 264,863.50, 365,511.70 and 145,631.50

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Solution

The fourth proportional to 264,863.50, 365,511.70 and 145,631.50 is: 200,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,863.50 : 365,511.70 = 145,631.50 : x
  2. Step 2: Convert to fraction form
    264,863.50/365,511.70 = 145,631.50/x
  3. Step 3: Cross multiply
    264,863.50x = 365,511.70 × 145,631.50
  4. Step 4: Simplify right side
    264,863.50x = 53,230,017,138.55
  5. Step 5: Solve for x
    x = 53,230,017,138.55/264,863.50
  6. Step 6: Final answer
    x = 200,971.51

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1.5x scale

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.