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Finding the Fourth Proportional to 201,743.80, 302,542.80 and 81,750.40

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Solution

The fourth proportional to 201,743.80, 302,542.80 and 81,750.40 is: 122,596.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,743.80 : 302,542.80 = 81,750.40 : x
  2. Step 2: Convert to fraction form
    201,743.80/302,542.80 = 81,750.40/x
  3. Step 3: Cross multiply
    201,743.80x = 302,542.80 × 81,750.40
  4. Step 4: Simplify right side
    201,743.80x = 24,732,994,917.12
  5. Step 5: Solve for x
    x = 24,732,994,917.12/201,743.80
  6. Step 6: Final answer
    x = 122,596.06

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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.