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Finding the Fourth Proportional to 119,164.10, 164,447.43 and 65,449.76

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Solution

The fourth proportional to 119,164.10, 164,447.43 and 65,449.76 is: 90,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,164.10 : 164,447.43 = 65,449.76 : x
  2. Step 2: Convert to fraction form
    119,164.10/164,447.43 = 65,449.76/x
  3. Step 3: Cross multiply
    119,164.10x = 164,447.43 × 65,449.76
  4. Step 4: Simplify right side
    119,164.10x = 10,763,044,826.12
  5. Step 5: Solve for x
    x = 10,763,044,826.12/119,164.10
  6. Step 6: Final answer
    x = 90,321.20

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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.