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Finding the Fourth Proportional to 201,642.30, 302,572.80 and 83,325.60

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Solution

The fourth proportional to 201,642.30, 302,572.80 and 83,325.60 is: 125,033.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,642.30 : 302,572.80 = 83,325.60 : x
  2. Step 2: Convert to fraction form
    201,642.30/302,572.80 = 83,325.60/x
  3. Step 3: Cross multiply
    201,642.30x = 302,572.80 × 83,325.60
  4. Step 4: Simplify right side
    201,642.30x = 25,212,060,103.68
  5. Step 5: Solve for x
    x = 25,212,060,103.68/201,642.30
  6. Step 6: Final answer
    x = 125,033.59

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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.