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Finding the Fourth Proportional to 176,040.56, 263,924.76 and 57,638

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Solution

The fourth proportional to 176,040.56, 263,924.76 and 57,638 is: 86,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,040.56 : 263,924.76 = 57,638 : x
  2. Step 2: Convert to fraction form
    176,040.56/263,924.76 = 57,638/x
  3. Step 3: Cross multiply
    176,040.56x = 263,924.76 × 57,638
  4. Step 4: Simplify right side
    176,040.56x = 15,212,095,316.88
  5. Step 5: Solve for x
    x = 15,212,095,316.88/176,040.56
  6. Step 6: Final answer
    x = 86,412.45

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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.