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Finding the Fourth Proportional to 129,681.33, 194,542.74 and 54,802.20

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Solution

The fourth proportional to 129,681.33, 194,542.74 and 54,802.20 is: 82,212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,681.33 : 194,542.74 = 54,802.20 : x
  2. Step 2: Convert to fraction form
    129,681.33/194,542.74 = 54,802.20/x
  3. Step 3: Cross multiply
    129,681.33x = 194,542.74 × 54,802.20
  4. Step 4: Simplify right side
    129,681.33x = 10,661,370,146.03
  5. Step 5: Solve for x
    x = 10,661,370,146.03/129,681.33
  6. Step 6: Final answer
    x = 82,212.07

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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.