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Finding the Fourth Proportional to 130,798.35, 180,446.67 and 82,314.39

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Solution

The fourth proportional to 130,798.35, 180,446.67 and 82,314.39 is: 113,559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,798.35 : 180,446.67 = 82,314.39 : x
  2. Step 2: Convert to fraction form
    130,798.35/180,446.67 = 82,314.39/x
  3. Step 3: Cross multiply
    130,798.35x = 180,446.67 × 82,314.39
  4. Step 4: Simplify right side
    130,798.35x = 14,853,357,568.58
  5. Step 5: Solve for x
    x = 14,853,357,568.58/130,798.35
  6. Step 6: Final answer
    x = 113,559.21

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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.