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Finding the Fourth Proportional to 177,222.72, 265,814.64 and 52,554

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Solution

The fourth proportional to 177,222.72, 265,814.64 and 52,554 is: 78,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,222.72 : 265,814.64 = 52,554 : x
  2. Step 2: Convert to fraction form
    177,222.72/265,814.64 = 52,554/x
  3. Step 3: Cross multiply
    177,222.72x = 265,814.64 × 52,554
  4. Step 4: Simplify right side
    177,222.72x = 13,969,622,590.56
  5. Step 5: Solve for x
    x = 13,969,622,590.56/177,222.72
  6. Step 6: Final answer
    x = 78,825.24

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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.