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Finding the Fourth Proportional to 200,532.52, 300,784 and 74,113.80

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Solution

The fourth proportional to 200,532.52, 300,784 and 74,113.80 is: 111,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,532.52 : 300,784 = 74,113.80 : x
  2. Step 2: Convert to fraction form
    200,532.52/300,784 = 74,113.80/x
  3. Step 3: Cross multiply
    200,532.52x = 300,784 × 74,113.80
  4. Step 4: Simplify right side
    200,532.52x = 22,292,245,219.20
  5. Step 5: Solve for x
    x = 22,292,245,219.20/200,532.52
  6. Step 6: Final answer
    x = 111,165.24

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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.