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Finding the Fourth Proportional to 200,687.20, 301,030.80 and 52,943.20

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Solution

The fourth proportional to 200,687.20, 301,030.80 and 52,943.20 is: 79,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,687.20 : 301,030.80 = 52,943.20 : x
  2. Step 2: Convert to fraction form
    200,687.20/301,030.80 = 52,943.20/x
  3. Step 3: Cross multiply
    200,687.20x = 301,030.80 × 52,943.20
  4. Step 4: Simplify right side
    200,687.20x = 15,937,533,850.56
  5. Step 5: Solve for x
    x = 15,937,533,850.56/200,687.20
  6. Step 6: Final answer
    x = 79,414.80

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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.