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Finding the Fourth Proportional to 133,655.31, 200,482.83 and 53,693.22

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Solution

The fourth proportional to 133,655.31, 200,482.83 and 53,693.22 is: 80,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,655.31 : 200,482.83 = 53,693.22 : x
  2. Step 2: Convert to fraction form
    133,655.31/200,482.83 = 53,693.22/x
  3. Step 3: Cross multiply
    133,655.31x = 200,482.83 × 53,693.22
  4. Step 4: Simplify right side
    133,655.31x = 10,764,568,697.41
  5. Step 5: Solve for x
    x = 10,764,568,697.41/133,655.31
  6. Step 6: Final answer
    x = 80,539.78

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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.