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Finding the Fourth Proportional to 133,570.90, 200,354.68 and 53,644.26

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Solution

The fourth proportional to 133,570.90, 200,354.68 and 53,644.26 is: 80,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,570.90 : 200,354.68 = 53,644.26 : x
  2. Step 2: Convert to fraction form
    133,570.90/200,354.68 = 53,644.26/x
  3. Step 3: Cross multiply
    133,570.90x = 200,354.68 × 53,644.26
  4. Step 4: Simplify right side
    133,570.90x = 10,747,878,546.14
  5. Step 5: Solve for x
    x = 10,747,878,546.14/133,570.90
  6. Step 6: Final answer
    x = 80,465.72

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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.