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Finding the Fourth Proportional to 201,323.80, 302,180.10 and 122,591.80

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Solution

The fourth proportional to 201,323.80, 302,180.10 and 122,591.80 is: 184,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,323.80 : 302,180.10 = 122,591.80 : x
  2. Step 2: Convert to fraction form
    201,323.80/302,180.10 = 122,591.80/x
  3. Step 3: Cross multiply
    201,323.80x = 302,180.10 × 122,591.80
  4. Step 4: Simplify right side
    201,323.80x = 37,044,802,383.18
  5. Step 5: Solve for x
    x = 37,044,802,383.18/201,323.80
  6. Step 6: Final answer
    x = 184,006.08

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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.