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Finding the Fourth Proportional to 133,701.57, 200,519.55 and 54,838.35

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Solution

The fourth proportional to 133,701.57, 200,519.55 and 54,838.35 is: 82,244.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,701.57 : 200,519.55 = 54,838.35 : x
  2. Step 2: Convert to fraction form
    133,701.57/200,519.55 = 54,838.35/x
  3. Step 3: Cross multiply
    133,701.57x = 200,519.55 × 54,838.35
  4. Step 4: Simplify right side
    133,701.57x = 10,996,161,264.74
  5. Step 5: Solve for x
    x = 10,996,161,264.74/133,701.57
  6. Step 6: Final answer
    x = 82,244.07

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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.