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Finding the Fourth Proportional to 177,064.56, 265,596.84 and 52,405.56

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Solution

The fourth proportional to 177,064.56, 265,596.84 and 52,405.56 is: 78,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,064.56 : 265,596.84 = 52,405.56 : x
  2. Step 2: Convert to fraction form
    177,064.56/265,596.84 = 52,405.56/x
  3. Step 3: Cross multiply
    177,064.56x = 265,596.84 × 52,405.56
  4. Step 4: Simplify right side
    177,064.56x = 13,918,751,134.43
  5. Step 5: Solve for x
    x = 13,918,751,134.43/177,064.56
  6. Step 6: Final answer
    x = 78,608.34

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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.