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Finding the Fourth Proportional to 108,002.30, 161,809.05 and 92,450.30

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Solution

The fourth proportional to 108,002.30, 161,809.05 and 92,450.30 is: 138,509.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,002.30 : 161,809.05 = 92,450.30 : x
  2. Step 2: Convert to fraction form
    108,002.30/161,809.05 = 92,450.30/x
  3. Step 3: Cross multiply
    108,002.30x = 161,809.05 × 92,450.30
  4. Step 4: Simplify right side
    108,002.30x = 14,959,295,215.22
  5. Step 5: Solve for x
    x = 14,959,295,215.22/108,002.30
  6. Step 6: Final answer
    x = 138,509.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.