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Finding the Fourth Proportional to 223,111.72, 307,893.54 and 133,687.72

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Solution

The fourth proportional to 223,111.72, 307,893.54 and 133,687.72 is: 184,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,111.72 : 307,893.54 = 133,687.72 : x
  2. Step 2: Convert to fraction form
    223,111.72/307,893.54 = 133,687.72/x
  3. Step 3: Cross multiply
    223,111.72x = 307,893.54 × 133,687.72
  4. Step 4: Simplify right side
    223,111.72x = 41,161,585,365.33
  5. Step 5: Solve for x
    x = 41,161,585,365.33/223,111.72
  6. Step 6: Final answer
    x = 184,488.67

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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.