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Finding the Fourth Proportional to 200,632.59, 300,988.24 and 74,273.81

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Solution

The fourth proportional to 200,632.59, 300,988.24 and 74,273.81 is: 111,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,632.59 : 300,988.24 = 74,273.81 : x
  2. Step 2: Convert to fraction form
    200,632.59/300,988.24 = 74,273.81/x
  3. Step 3: Cross multiply
    200,632.59x = 300,988.24 × 74,273.81
  4. Step 4: Simplify right side
    200,632.59x = 22,355,541,659.37
  5. Step 5: Solve for x
    x = 22,355,541,659.37/200,632.59
  6. Step 6: Final answer
    x = 111,425.28

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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.