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Finding the Fourth Proportional to 146,672.40, 220,008.48 and 51,972

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Solution

The fourth proportional to 146,672.40, 220,008.48 and 51,972 is: 77,957.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,672.40 : 220,008.48 = 51,972 : x
  2. Step 2: Convert to fraction form
    146,672.40/220,008.48 = 51,972/x
  3. Step 3: Cross multiply
    146,672.40x = 220,008.48 × 51,972
  4. Step 4: Simplify right side
    146,672.40x = 11,434,280,722.56
  5. Step 5: Solve for x
    x = 11,434,280,722.56/146,672.40
  6. Step 6: Final answer
    x = 77,957.96

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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.