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Finding the Fourth Proportional to 195,732.40, 293,609.76 and 55,480

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Solution

The fourth proportional to 195,732.40, 293,609.76 and 55,480 is: 83,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,732.40 : 293,609.76 = 55,480 : x
  2. Step 2: Convert to fraction form
    195,732.40/293,609.76 = 55,480/x
  3. Step 3: Cross multiply
    195,732.40x = 293,609.76 × 55,480
  4. Step 4: Simplify right side
    195,732.40x = 16,289,469,484.80
  5. Step 5: Solve for x
    x = 16,289,469,484.80/195,732.40
  6. Step 6: Final answer
    x = 83,223.16

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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.