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Finding the Fourth Proportional to 177,221.31, 265,733.64 and 70,596.96

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Solution

The fourth proportional to 177,221.31, 265,733.64 and 70,596.96 is: 105,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,221.31 : 265,733.64 = 70,596.96 : x
  2. Step 2: Convert to fraction form
    177,221.31/265,733.64 = 70,596.96/x
  3. Step 3: Cross multiply
    177,221.31x = 265,733.64 × 70,596.96
  4. Step 4: Simplify right side
    177,221.31x = 18,759,987,153.73
  5. Step 5: Solve for x
    x = 18,759,987,153.73/177,221.31
  6. Step 6: Final answer
    x = 105,856.27

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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.