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Finding the Fourth Proportional to 177,062.52, 265,571.76 and 71,780.34

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Solution

The fourth proportional to 177,062.52, 265,571.76 and 71,780.34 is: 107,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,062.52 : 265,571.76 = 71,780.34 : x
  2. Step 2: Convert to fraction form
    177,062.52/265,571.76 = 71,780.34/x
  3. Step 3: Cross multiply
    177,062.52x = 265,571.76 × 71,780.34
  4. Step 4: Simplify right side
    177,062.52x = 19,062,831,227.20
  5. Step 5: Solve for x
    x = 19,062,831,227.20/177,062.52
  6. Step 6: Final answer
    x = 107,661.58

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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.