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Finding the Fourth Proportional to 106,457.60, 159,686.40 and 50,279.24

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Solution

The fourth proportional to 106,457.60, 159,686.40 and 50,279.24 is: 75,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,457.60 : 159,686.40 = 50,279.24 : x
  2. Step 2: Convert to fraction form
    106,457.60/159,686.40 = 50,279.24/x
  3. Step 3: Cross multiply
    106,457.60x = 159,686.40 × 50,279.24
  4. Step 4: Simplify right side
    106,457.60x = 8,028,910,830.34
  5. Step 5: Solve for x
    x = 8,028,910,830.34/106,457.60
  6. Step 6: Final answer
    x = 75,418.86

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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.