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Finding the Fourth Proportional to 195,790.40, 293,696.76 and 55,538

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Solution

The fourth proportional to 195,790.40, 293,696.76 and 55,538 is: 83,310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,790.40 : 293,696.76 = 55,538 : x
  2. Step 2: Convert to fraction form
    195,790.40/293,696.76 = 55,538/x
  3. Step 3: Cross multiply
    195,790.40x = 293,696.76 × 55,538
  4. Step 4: Simplify right side
    195,790.40x = 16,311,330,656.88
  5. Step 5: Solve for x
    x = 16,311,330,656.88/195,790.40
  6. Step 6: Final answer
    x = 83,310.17

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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.