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Finding the Fourth Proportional to 133,740.55, 200,608.80 and 32,539.56

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Solution

The fourth proportional to 133,740.55, 200,608.80 and 32,539.56 is: 48,808.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,740.55 : 200,608.80 = 32,539.56 : x
  2. Step 2: Convert to fraction form
    133,740.55/200,608.80 = 32,539.56/x
  3. Step 3: Cross multiply
    133,740.55x = 200,608.80 × 32,539.56
  4. Step 4: Simplify right side
    133,740.55x = 6,527,721,209.82
  5. Step 5: Solve for x
    x = 6,527,721,209.82/133,740.55
  6. Step 6: Final answer
    x = 48,808.84

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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.