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Finding the Fourth Proportional to 201,740.80, 302,538.30 and 81,747.40

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Solution

The fourth proportional to 201,740.80, 302,538.30 and 81,747.40 is: 122,591.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,740.80 : 302,538.30 = 81,747.40 : x
  2. Step 2: Convert to fraction form
    201,740.80/302,538.30 = 81,747.40/x
  3. Step 3: Cross multiply
    201,740.80x = 302,538.30 × 81,747.40
  4. Step 4: Simplify right side
    201,740.80x = 24,731,719,425.42
  5. Step 5: Solve for x
    x = 24,731,719,425.42/201,740.80
  6. Step 6: Final answer
    x = 122,591.56

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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.