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Finding the Fourth Proportional to 133,666.26, 200,475.06 and 53,701.02

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Solution

The fourth proportional to 133,666.26, 200,475.06 and 53,701.02 is: 80,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,666.26 : 200,475.06 = 53,701.02 : x
  2. Step 2: Convert to fraction form
    133,666.26/200,475.06 = 53,701.02/x
  3. Step 3: Cross multiply
    133,666.26x = 200,475.06 × 53,701.02
  4. Step 4: Simplify right side
    133,666.26x = 10,765,715,206.56
  5. Step 5: Solve for x
    x = 10,765,715,206.56/133,666.26
  6. Step 6: Final answer
    x = 80,541.76

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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.