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Finding the Fourth Proportional to 177,755.50, 266,633.25 and 53,096.50

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Solution

The fourth proportional to 177,755.50, 266,633.25 and 53,096.50 is: 79,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,755.50 : 266,633.25 = 53,096.50 : x
  2. Step 2: Convert to fraction form
    177,755.50/266,633.25 = 53,096.50/x
  3. Step 3: Cross multiply
    177,755.50x = 266,633.25 × 53,096.50
  4. Step 4: Simplify right side
    177,755.50x = 14,157,292,358.63
  5. Step 5: Solve for x
    x = 14,157,292,358.63/177,755.50
  6. Step 6: Final answer
    x = 79,644.75

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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.