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Finding the Fourth Proportional to 201,835.60, 302,729.10 and 83,494.60

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Solution

The fourth proportional to 201,835.60, 302,729.10 and 83,494.60 is: 125,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,835.60 : 302,729.10 = 83,494.60 : x
  2. Step 2: Convert to fraction form
    201,835.60/302,729.10 = 83,494.60/x
  3. Step 3: Cross multiply
    201,835.60x = 302,729.10 × 83,494.60
  4. Step 4: Simplify right side
    201,835.60x = 25,276,245,112.86
  5. Step 5: Solve for x
    x = 25,276,245,112.86/201,835.60
  6. Step 6: Final answer
    x = 125,231.85

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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.