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Finding the Fourth Proportional to 107,002.35, 160,507.22 and 50,813.46

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Solution

The fourth proportional to 107,002.35, 160,507.22 and 50,813.46 is: 76,221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,002.35 : 160,507.22 = 50,813.46 : x
  2. Step 2: Convert to fraction form
    107,002.35/160,507.22 = 50,813.46/x
  3. Step 3: Cross multiply
    107,002.35x = 160,507.22 × 50,813.46
  4. Step 4: Simplify right side
    107,002.35x = 8,155,927,234.94
  5. Step 5: Solve for x
    x = 8,155,927,234.94/107,002.35
  6. Step 6: Final answer
    x = 76,221.94

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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.