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Finding the Fourth Proportional to 123,674.68, 185,541.14 and 98,469.52

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Solution

The fourth proportional to 123,674.68, 185,541.14 and 98,469.52 is: 147,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,674.68 : 185,541.14 = 98,469.52 : x
  2. Step 2: Convert to fraction form
    123,674.68/185,541.14 = 98,469.52/x
  3. Step 3: Cross multiply
    123,674.68x = 185,541.14 × 98,469.52
  4. Step 4: Simplify right side
    123,674.68x = 18,270,146,996.05
  5. Step 5: Solve for x
    x = 18,270,146,996.05/123,674.68
  6. Step 6: Final answer
    x = 147,727.47

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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.