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Finding the Fourth Proportional to 177,009.44, 265,456.74 and 58,649

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Solution

The fourth proportional to 177,009.44, 265,456.74 and 58,649 is: 87,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,009.44 : 265,456.74 = 58,649 : x
  2. Step 2: Convert to fraction form
    177,009.44/265,456.74 = 58,649/x
  3. Step 3: Cross multiply
    177,009.44x = 265,456.74 × 58,649
  4. Step 4: Simplify right side
    177,009.44x = 15,568,772,344.26
  5. Step 5: Solve for x
    x = 15,568,772,344.26/177,009.44
  6. Step 6: Final answer
    x = 87,954.47

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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.