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Finding the Fourth Proportional to 143,241.90, 197,678.98 and 82,831.50

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Solution

The fourth proportional to 143,241.90, 197,678.98 and 82,831.50 is: 114,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,241.90 : 197,678.98 = 82,831.50 : x
  2. Step 2: Convert to fraction form
    143,241.90/197,678.98 = 82,831.50/x
  3. Step 3: Cross multiply
    143,241.90x = 197,678.98 × 82,831.50
  4. Step 4: Simplify right side
    143,241.90x = 16,374,046,431.87
  5. Step 5: Solve for x
    x = 16,374,046,431.87/143,241.90
  6. Step 6: Final answer
    x = 114,310.45

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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.