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Finding the Fourth Proportional to 144,499.67, 199,449.60 and 84,082

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Solution

The fourth proportional to 144,499.67, 199,449.60 and 84,082 is: 116,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,499.67 : 199,449.60 = 84,082 : x
  2. Step 2: Convert to fraction form
    144,499.67/199,449.60 = 84,082/x
  3. Step 3: Cross multiply
    144,499.67x = 199,449.60 × 84,082
  4. Step 4: Simplify right side
    144,499.67x = 16,770,121,267.20
  5. Step 5: Solve for x
    x = 16,770,121,267.20/144,499.67
  6. Step 6: Final answer
    x = 116,056.47

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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.