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Finding the Fourth Proportional to 137,042.10, 189,119.50 and 76,616.10

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Solution

The fourth proportional to 137,042.10, 189,119.50 and 76,616.10 is: 105,731.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,042.10 : 189,119.50 = 76,616.10 : x
  2. Step 2: Convert to fraction form
    137,042.10/189,119.50 = 76,616.10/x
  3. Step 3: Cross multiply
    137,042.10x = 189,119.50 × 76,616.10
  4. Step 4: Simplify right side
    137,042.10x = 14,489,598,523.95
  5. Step 5: Solve for x
    x = 14,489,598,523.95/137,042.10
  6. Step 6: Final answer
    x = 105,731.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.