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Finding the Fourth Proportional to 103,419.90, 155,129.85 and 82,683.90

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Solution

The fourth proportional to 103,419.90, 155,129.85 and 82,683.90 is: 124,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,419.90 : 155,129.85 = 82,683.90 : x
  2. Step 2: Convert to fraction form
    103,419.90/155,129.85 = 82,683.90/x
  3. Step 3: Cross multiply
    103,419.90x = 155,129.85 × 82,683.90
  4. Step 4: Simplify right side
    103,419.90x = 12,826,741,004.42
  5. Step 5: Solve for x
    x = 12,826,741,004.42/103,419.90
  6. Step 6: Final answer
    x = 124,025.85

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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.