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Finding the Fourth Proportional to 201,445.76, 302,125.44 and 83,086.40

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Solution

The fourth proportional to 201,445.76, 302,125.44 and 83,086.40 is: 124,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,445.76 : 302,125.44 = 83,086.40 : x
  2. Step 2: Convert to fraction form
    201,445.76/302,125.44 = 83,086.40/x
  3. Step 3: Cross multiply
    201,445.76x = 302,125.44 × 83,086.40
  4. Step 4: Simplify right side
    201,445.76x = 25,102,515,158.02
  5. Step 5: Solve for x
    x = 25,102,515,158.02/201,445.76
  6. Step 6: Final answer
    x = 124,611.78

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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.