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Finding the Fourth Proportional to 116,112, 160,268.76 and 75,831.96

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Solution

The fourth proportional to 116,112, 160,268.76 and 75,831.96 is: 104,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,112 : 160,268.76 = 75,831.96 : x
  2. Step 2: Convert to fraction form
    116,112/160,268.76 = 75,831.96/x
  3. Step 3: Cross multiply
    116,112x = 160,268.76 × 75,831.96
  4. Step 4: Simplify right side
    116,112x = 12,153,494,197.57
  5. Step 5: Solve for x
    x = 12,153,494,197.57/116,112
  6. Step 6: Final answer
    x = 104,670.44

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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.