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Finding the Fourth Proportional to 264,141.09, 364,110.25 and 161,977.10

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Solution

The fourth proportional to 264,141.09, 364,110.25 and 161,977.10 is: 223,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,141.09 : 364,110.25 = 161,977.10 : x
  2. Step 2: Convert to fraction form
    264,141.09/364,110.25 = 161,977.10/x
  3. Step 3: Cross multiply
    264,141.09x = 364,110.25 × 161,977.10
  4. Step 4: Simplify right side
    264,141.09x = 58,977,522,375.28
  5. Step 5: Solve for x
    x = 58,977,522,375.28/264,141.09
  6. Step 6: Final answer
    x = 223,280.38

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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.