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Finding the Fourth Proportional to 108,057.40, 161,826.90 and 87,321.40

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Solution

The fourth proportional to 108,057.40, 161,826.90 and 87,321.40 is: 130,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,057.40 : 161,826.90 = 87,321.40 : x
  2. Step 2: Convert to fraction form
    108,057.40/161,826.90 = 87,321.40/x
  3. Step 3: Cross multiply
    108,057.40x = 161,826.90 × 87,321.40
  4. Step 4: Simplify right side
    108,057.40x = 14,130,951,465.66
  5. Step 5: Solve for x
    x = 14,130,951,465.66/108,057.40
  6. Step 6: Final answer
    x = 130,772.64

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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.