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Finding the Fourth Proportional to 177,182.56, 265,844.64 and 72,009.76

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Solution

The fourth proportional to 177,182.56, 265,844.64 and 72,009.76 is: 108,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,182.56 : 265,844.64 = 72,009.76 : x
  2. Step 2: Convert to fraction form
    177,182.56/265,844.64 = 72,009.76/x
  3. Step 3: Cross multiply
    177,182.56x = 265,844.64 × 72,009.76
  4. Step 4: Simplify right side
    177,182.56x = 19,143,408,723.69
  5. Step 5: Solve for x
    x = 19,143,408,723.69/177,182.56
  6. Step 6: Final answer
    x = 108,043.41

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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.