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Finding the Fourth Proportional to 201,620.34, 302,480.33 and 83,325.51

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Solution

The fourth proportional to 201,620.34, 302,480.33 and 83,325.51 is: 125,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,620.34 : 302,480.33 = 83,325.51 : x
  2. Step 2: Convert to fraction form
    201,620.34/302,480.33 = 83,325.51/x
  3. Step 3: Cross multiply
    201,620.34x = 302,480.33 × 83,325.51
  4. Step 4: Simplify right side
    201,620.34x = 25,204,327,345.59
  5. Step 5: Solve for x
    x = 25,204,327,345.59/201,620.34
  6. Step 6: Final answer
    x = 125,008.85

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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.