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Finding the Fourth Proportional to 144,497.65, 199,446.86 and 84,080

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Solution

The fourth proportional to 144,497.65, 199,446.86 and 84,080 is: 116,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,497.65 : 199,446.86 = 84,080 : x
  2. Step 2: Convert to fraction form
    144,497.65/199,446.86 = 84,080/x
  3. Step 3: Cross multiply
    144,497.65x = 199,446.86 × 84,080
  4. Step 4: Simplify right side
    144,497.65x = 16,769,491,988.80
  5. Step 5: Solve for x
    x = 16,769,491,988.80/144,497.65
  6. Step 6: Final answer
    x = 116,053.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.