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Finding the Fourth Proportional to 130,974.18, 180,744.39 and 74,385.42

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Solution

The fourth proportional to 130,974.18, 180,744.39 and 74,385.42 is: 102,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,974.18 : 180,744.39 = 74,385.42 : x
  2. Step 2: Convert to fraction form
    130,974.18/180,744.39 = 74,385.42/x
  3. Step 3: Cross multiply
    130,974.18x = 180,744.39 × 74,385.42
  4. Step 4: Simplify right side
    130,974.18x = 13,444,747,362.79
  5. Step 5: Solve for x
    x = 13,444,747,362.79/130,974.18
  6. Step 6: Final answer
    x = 102,651.89

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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.