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Finding the Fourth Proportional to 146,016.68, 219,052.05 and 46,202

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Solution

The fourth proportional to 146,016.68, 219,052.05 and 46,202 is: 69,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,016.68 : 219,052.05 = 46,202 : x
  2. Step 2: Convert to fraction form
    146,016.68/219,052.05 = 46,202/x
  3. Step 3: Cross multiply
    146,016.68x = 219,052.05 × 46,202
  4. Step 4: Simplify right side
    146,016.68x = 10,120,642,814.10
  5. Step 5: Solve for x
    x = 10,120,642,814.10/146,016.68
  6. Step 6: Final answer
    x = 69,311.55

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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.