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Finding the Fourth Proportional to 469,147.14, 703,719.90 and 132,187.14

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Solution

The fourth proportional to 469,147.14, 703,719.90 and 132,187.14 is: 198,280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,147.14 : 703,719.90 = 132,187.14 : x
  2. Step 2: Convert to fraction form
    469,147.14/703,719.90 = 132,187.14/x
  3. Step 3: Cross multiply
    469,147.14x = 703,719.90 × 132,187.14
  4. Step 4: Simplify right side
    469,147.14x = 93,022,720,942.09
  5. Step 5: Solve for x
    x = 93,022,720,942.09/469,147.14
  6. Step 6: Final answer
    x = 198,280.48

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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.