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Finding the Fourth Proportional to 107,830.40, 161,745.60 and 55,222.40

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Solution

The fourth proportional to 107,830.40, 161,745.60 and 55,222.40 is: 82,833.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,830.40 : 161,745.60 = 55,222.40 : x
  2. Step 2: Convert to fraction form
    107,830.40/161,745.60 = 55,222.40/x
  3. Step 3: Cross multiply
    107,830.40x = 161,745.60 × 55,222.40
  4. Step 4: Simplify right side
    107,830.40x = 8,931,980,221.44
  5. Step 5: Solve for x
    x = 8,931,980,221.44/107,830.40
  6. Step 6: Final answer
    x = 82,833.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.