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Finding the Fourth Proportional to 133,541.82, 200,174.30 and 83,507.06

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Solution

The fourth proportional to 133,541.82, 200,174.30 and 83,507.06 is: 125,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,541.82 : 200,174.30 = 83,507.06 : x
  2. Step 2: Convert to fraction form
    133,541.82/200,174.30 = 83,507.06/x
  3. Step 3: Cross multiply
    133,541.82x = 200,174.30 × 83,507.06
  4. Step 4: Simplify right side
    133,541.82x = 16,715,965,862.15
  5. Step 5: Solve for x
    x = 16,715,965,862.15/133,541.82
  6. Step 6: Final answer
    x = 125,174.02

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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.