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Finding the Fourth Proportional to 130,814.90, 180,524.94 and 74,226.14

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Solution

The fourth proportional to 130,814.90, 180,524.94 and 74,226.14 is: 102,432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,814.90 : 180,524.94 = 74,226.14 : x
  2. Step 2: Convert to fraction form
    130,814.90/180,524.94 = 74,226.14/x
  3. Step 3: Cross multiply
    130,814.90x = 180,524.94 × 74,226.14
  4. Step 4: Simplify right side
    130,814.90x = 13,399,669,469.93
  5. Step 5: Solve for x
    x = 13,399,669,469.93/130,814.90
  6. Step 6: Final answer
    x = 102,432.29

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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.