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Finding the Fourth Proportional to 106,459.60, 159,689.40 and 50,281.24

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Solution

The fourth proportional to 106,459.60, 159,689.40 and 50,281.24 is: 75,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,459.60 : 159,689.40 = 50,281.24 : x
  2. Step 2: Convert to fraction form
    106,459.60/159,689.40 = 50,281.24/x
  3. Step 3: Cross multiply
    106,459.60x = 159,689.40 × 50,281.24
  4. Step 4: Simplify right side
    106,459.60x = 8,029,381,046.86
  5. Step 5: Solve for x
    x = 8,029,381,046.86/106,459.60
  6. Step 6: Final answer
    x = 75,421.86

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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.