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Finding the Fourth Proportional to 200,279.84, 300,323.76 and 75,541.28

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Solution

The fourth proportional to 200,279.84, 300,323.76 and 75,541.28 is: 113,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,279.84 : 300,323.76 = 75,541.28 : x
  2. Step 2: Convert to fraction form
    200,279.84/300,323.76 = 75,541.28/x
  3. Step 3: Cross multiply
    200,279.84x = 300,323.76 × 75,541.28
  4. Step 4: Simplify right side
    200,279.84x = 22,686,841,244.81
  5. Step 5: Solve for x
    x = 22,686,841,244.81/200,279.84
  6. Step 6: Final answer
    x = 113,275.71

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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.