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Finding the Fourth Proportional to 117,638.20, 176,457.30 and 80,313.40

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Solution

The fourth proportional to 117,638.20, 176,457.30 and 80,313.40 is: 120,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,638.20 : 176,457.30 = 80,313.40 : x
  2. Step 2: Convert to fraction form
    117,638.20/176,457.30 = 80,313.40/x
  3. Step 3: Cross multiply
    117,638.20x = 176,457.30 × 80,313.40
  4. Step 4: Simplify right side
    117,638.20x = 14,171,885,717.82
  5. Step 5: Solve for x
    x = 14,171,885,717.82/117,638.20
  6. Step 6: Final answer
    x = 120,470.10

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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.