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Finding the Fourth Proportional to 133,776.38, 200,685.33 and 45,022.96

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Solution

The fourth proportional to 133,776.38, 200,685.33 and 45,022.96 is: 67,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,776.38 : 200,685.33 = 45,022.96 : x
  2. Step 2: Convert to fraction form
    133,776.38/200,685.33 = 45,022.96/x
  3. Step 3: Cross multiply
    133,776.38x = 200,685.33 × 45,022.96
  4. Step 4: Simplify right side
    133,776.38x = 9,035,447,360.06
  5. Step 5: Solve for x
    x = 9,035,447,360.06/133,776.38
  6. Step 6: Final answer
    x = 67,541.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.