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Finding the Fourth Proportional to 195,039.36, 292,525.92 and 54,765

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Solution

The fourth proportional to 195,039.36, 292,525.92 and 54,765 is: 82,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,039.36 : 292,525.92 = 54,765 : x
  2. Step 2: Convert to fraction form
    195,039.36/292,525.92 = 54,765/x
  3. Step 3: Cross multiply
    195,039.36x = 292,525.92 × 54,765
  4. Step 4: Simplify right side
    195,039.36x = 16,020,182,008.80
  5. Step 5: Solve for x
    x = 16,020,182,008.80/195,039.36
  6. Step 6: Final answer
    x = 82,138.20

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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.