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Finding the Fourth Proportional to 118,971.36, 163,768.32 and 102,831.20

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Solution

The fourth proportional to 118,971.36, 163,768.32 and 102,831.20 is: 141,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,971.36 : 163,768.32 = 102,831.20 : x
  2. Step 2: Convert to fraction form
    118,971.36/163,768.32 = 102,831.20/x
  3. Step 3: Cross multiply
    118,971.36x = 163,768.32 × 102,831.20
  4. Step 4: Simplify right side
    118,971.36x = 16,840,492,867.58
  5. Step 5: Solve for x
    x = 16,840,492,867.58/118,971.36
  6. Step 6: Final answer
    x = 141,550.81

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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.