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Finding the Fourth Proportional to 204,801.53, 307,338.94 and 71,681.80

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Solution

The fourth proportional to 204,801.53, 307,338.94 and 71,681.80 is: 107,570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,801.53 : 307,338.94 = 71,681.80 : x
  2. Step 2: Convert to fraction form
    204,801.53/307,338.94 = 71,681.80/x
  3. Step 3: Cross multiply
    204,801.53x = 307,338.94 × 71,681.80
  4. Step 4: Simplify right side
    204,801.53x = 22,030,608,429.29
  5. Step 5: Solve for x
    x = 22,030,608,429.29/204,801.53
  6. Step 6: Final answer
    x = 107,570.53

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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.