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Finding the Fourth Proportional to 145,829.76, 217,945.50 and 106,469.76

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Solution

The fourth proportional to 145,829.76, 217,945.50 and 106,469.76 is: 159,121.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,829.76 : 217,945.50 = 106,469.76 : x
  2. Step 2: Convert to fraction form
    145,829.76/217,945.50 = 106,469.76/x
  3. Step 3: Cross multiply
    145,829.76x = 217,945.50 × 106,469.76
  4. Step 4: Simplify right side
    145,829.76x = 23,204,605,078.08
  5. Step 5: Solve for x
    x = 23,204,605,078.08/145,829.76
  6. Step 6: Final answer
    x = 159,121.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.