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Finding the Fourth Proportional to 132,723, 183,157.75 and 73,107

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Solution

The fourth proportional to 132,723, 183,157.75 and 73,107 is: 100,887.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,723 : 183,157.75 = 73,107 : x
  2. Step 2: Convert to fraction form
    132,723/183,157.75 = 73,107/x
  3. Step 3: Cross multiply
    132,723x = 183,157.75 × 73,107
  4. Step 4: Simplify right side
    132,723x = 13,390,113,629.25
  5. Step 5: Solve for x
    x = 13,390,113,629.25/132,723
  6. Step 6: Final answer
    x = 100,887.67

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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.