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Finding the Fourth Proportional to 122,831.82, 184,247.82 and 34,085.41

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Solution

The fourth proportional to 122,831.82, 184,247.82 and 34,085.41 is: 51,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,831.82 : 184,247.82 = 34,085.41 : x
  2. Step 2: Convert to fraction form
    122,831.82/184,247.82 = 34,085.41/x
  3. Step 3: Cross multiply
    122,831.82x = 184,247.82 × 34,085.41
  4. Step 4: Simplify right side
    122,831.82x = 6,280,161,897.87
  5. Step 5: Solve for x
    x = 6,280,161,897.87/122,831.82
  6. Step 6: Final answer
    x = 51,128.14

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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.