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Finding the Fourth Proportional to 216,039.40, 324,059.10 and 97,714.60

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Solution

The fourth proportional to 216,039.40, 324,059.10 and 97,714.60 is: 146,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,039.40 : 324,059.10 = 97,714.60 : x
  2. Step 2: Convert to fraction form
    216,039.40/324,059.10 = 97,714.60/x
  3. Step 3: Cross multiply
    216,039.40x = 324,059.10 × 97,714.60
  4. Step 4: Simplify right side
    216,039.40x = 31,665,305,332.86
  5. Step 5: Solve for x
    x = 31,665,305,332.86/216,039.40
  6. Step 6: Final answer
    x = 146,571.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.