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Finding the Fourth Proportional to 186,082.48, 279,149.64 and 67,731.76

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Solution

The fourth proportional to 186,082.48, 279,149.64 and 67,731.76 is: 101,607.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,082.48 : 279,149.64 = 67,731.76 : x
  2. Step 2: Convert to fraction form
    186,082.48/279,149.64 = 67,731.76/x
  3. Step 3: Cross multiply
    186,082.48x = 279,149.64 × 67,731.76
  4. Step 4: Simplify right side
    186,082.48x = 18,907,296,420.57
  5. Step 5: Solve for x
    x = 18,907,296,420.57/186,082.48
  6. Step 6: Final answer
    x = 101,607.07

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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.