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Finding the Fourth Proportional to 133,238.10, 183,741.50 and 87,229.09

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Solution

The fourth proportional to 133,238.10, 183,741.50 and 87,229.09 is: 120,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,238.10 : 183,741.50 = 87,229.09 : x
  2. Step 2: Convert to fraction form
    133,238.10/183,741.50 = 87,229.09/x
  3. Step 3: Cross multiply
    133,238.10x = 183,741.50 × 87,229.09
  4. Step 4: Simplify right side
    133,238.10x = 16,027,602,485.38
  5. Step 5: Solve for x
    x = 16,027,602,485.38/133,238.10
  6. Step 6: Final answer
    x = 120,292.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.