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Finding the Fourth Proportional to 264,057.10, 396,037.05 and 164,038.30

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Solution

The fourth proportional to 264,057.10, 396,037.05 and 164,038.30 is: 246,027.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,057.10 : 396,037.05 = 164,038.30 : x
  2. Step 2: Convert to fraction form
    264,057.10/396,037.05 = 164,038.30/x
  3. Step 3: Cross multiply
    264,057.10x = 396,037.05 × 164,038.30
  4. Step 4: Simplify right side
    264,057.10x = 64,965,244,419.02
  5. Step 5: Solve for x
    x = 64,965,244,419.02/264,057.10
  6. Step 6: Final answer
    x = 246,027.26

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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.