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Finding the Fourth Proportional to 171,180.69, 256,831.80 and 76,402.24

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Solution

The fourth proportional to 171,180.69, 256,831.80 and 76,402.24 is: 114,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,180.69 : 256,831.80 = 76,402.24 : x
  2. Step 2: Convert to fraction form
    171,180.69/256,831.80 = 76,402.24/x
  3. Step 3: Cross multiply
    171,180.69x = 256,831.80 × 76,402.24
  4. Step 4: Simplify right side
    171,180.69x = 19,622,524,823.23
  5. Step 5: Solve for x
    x = 19,622,524,823.23/171,180.69
  6. Step 6: Final answer
    x = 114,630.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.