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Finding the Fourth Proportional to 275,501.40, 413,091.50 and 106,824.68

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Solution

The fourth proportional to 275,501.40, 413,091.50 and 106,824.68 is: 160,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,501.40 : 413,091.50 = 106,824.68 : x
  2. Step 2: Convert to fraction form
    275,501.40/413,091.50 = 106,824.68/x
  3. Step 3: Cross multiply
    275,501.40x = 413,091.50 × 106,824.68
  4. Step 4: Simplify right side
    275,501.40x = 44,128,367,298.22
  5. Step 5: Solve for x
    x = 44,128,367,298.22/275,501.40
  6. Step 6: Final answer
    x = 160,174.75

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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.