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Finding the Fourth Proportional to 139,419.90, 192,416.04 and 82,831.50

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Solution

The fourth proportional to 139,419.90, 192,416.04 and 82,831.50 is: 114,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,419.90 : 192,416.04 = 82,831.50 : x
  2. Step 2: Convert to fraction form
    139,419.90/192,416.04 = 82,831.50/x
  3. Step 3: Cross multiply
    139,419.90x = 192,416.04 × 82,831.50
  4. Step 4: Simplify right side
    139,419.90x = 15,938,109,217.26
  5. Step 5: Solve for x
    x = 15,938,109,217.26/139,419.90
  6. Step 6: Final answer
    x = 114,317.32

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