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Finding the Fourth Proportional to 223,189.51, 334,747.32 and 73,431.67

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Solution

The fourth proportional to 223,189.51, 334,747.32 and 73,431.67 is: 110,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,189.51 : 334,747.32 = 73,431.67 : x
  2. Step 2: Convert to fraction form
    223,189.51/334,747.32 = 73,431.67/x
  3. Step 3: Cross multiply
    223,189.51x = 334,747.32 × 73,431.67
  4. Step 4: Simplify right side
    223,189.51x = 24,581,054,735.62
  5. Step 5: Solve for x
    x = 24,581,054,735.62/223,189.51
  6. Step 6: Final answer
    x = 110,135.35

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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.