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Finding the Fourth Proportional to 195,014.34, 292,532.40 and 54,762

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Solution

The fourth proportional to 195,014.34, 292,532.40 and 54,762 is: 82,146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,014.34 : 292,532.40 = 54,762 : x
  2. Step 2: Convert to fraction form
    195,014.34/292,532.40 = 54,762/x
  3. Step 3: Cross multiply
    195,014.34x = 292,532.40 × 54,762
  4. Step 4: Simplify right side
    195,014.34x = 16,019,659,288.80
  5. Step 5: Solve for x
    x = 16,019,659,288.80/195,014.34
  6. Step 6: Final answer
    x = 82,146.06

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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.