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Finding the Fourth Proportional to 200,538.51, 300,813.02 and 58,378.04

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Solution

The fourth proportional to 200,538.51, 300,813.02 and 58,378.04 is: 87,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,538.51 : 300,813.02 = 58,378.04 : x
  2. Step 2: Convert to fraction form
    200,538.51/300,813.02 = 58,378.04/x
  3. Step 3: Cross multiply
    200,538.51x = 300,813.02 × 58,378.04
  4. Step 4: Simplify right side
    200,538.51x = 17,560,874,514.08
  5. Step 5: Solve for x
    x = 17,560,874,514.08/200,538.51
  6. Step 6: Final answer
    x = 87,568.59

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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.