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Finding the Fourth Proportional to 133,685.82, 200,528.55 and 53,723.79

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Solution

The fourth proportional to 133,685.82, 200,528.55 and 53,723.79 is: 80,585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,685.82 : 200,528.55 = 53,723.79 : x
  2. Step 2: Convert to fraction form
    133,685.82/200,528.55 = 53,723.79/x
  3. Step 3: Cross multiply
    133,685.82x = 200,528.55 × 53,723.79
  4. Step 4: Simplify right side
    133,685.82x = 10,773,153,709.20
  5. Step 5: Solve for x
    x = 10,773,153,709.20/133,685.82
  6. Step 6: Final answer
    x = 80,585.61

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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.