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Finding the Fourth Proportional to 195,729.40, 293,605.26 and 55,477

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Solution

The fourth proportional to 195,729.40, 293,605.26 and 55,477 is: 83,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,729.40 : 293,605.26 = 55,477 : x
  2. Step 2: Convert to fraction form
    195,729.40/293,605.26 = 55,477/x
  3. Step 3: Cross multiply
    195,729.40x = 293,605.26 × 55,477
  4. Step 4: Simplify right side
    195,729.40x = 16,288,339,009.02
  5. Step 5: Solve for x
    x = 16,288,339,009.02/195,729.40
  6. Step 6: Final answer
    x = 83,218.66

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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.