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Finding the Fourth Proportional to 133,831.76, 184,691.22 and 75,683.84

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Solution

The fourth proportional to 133,831.76, 184,691.22 and 75,683.84 is: 104,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,831.76 : 184,691.22 = 75,683.84 : x
  2. Step 2: Convert to fraction form
    133,831.76/184,691.22 = 75,683.84/x
  3. Step 3: Cross multiply
    133,831.76x = 184,691.22 × 75,683.84
  4. Step 4: Simplify right side
    133,831.76x = 13,978,140,743.88
  5. Step 5: Solve for x
    x = 13,978,140,743.88/133,831.76
  6. Step 6: Final answer
    x = 104,445.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.