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Finding the Fourth Proportional to 133,805.57, 200,644.76 and 77,662.89

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Solution

The fourth proportional to 133,805.57, 200,644.76 and 77,662.89 is: 116,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,805.57 : 200,644.76 = 77,662.89 : x
  2. Step 2: Convert to fraction form
    133,805.57/200,644.76 = 77,662.89/x
  3. Step 3: Cross multiply
    133,805.57x = 200,644.76 × 77,662.89
  4. Step 4: Simplify right side
    133,805.57x = 15,582,651,536.64
  5. Step 5: Solve for x
    x = 15,582,651,536.64/133,805.57
  6. Step 6: Final answer
    x = 116,457.42

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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.