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Finding the Fourth Proportional to 141,650.40, 212,038.20 and 82,309.80

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Solution

The fourth proportional to 141,650.40, 212,038.20 and 82,309.80 is: 123,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,650.40 : 212,038.20 = 82,309.80 : x
  2. Step 2: Convert to fraction form
    141,650.40/212,038.20 = 82,309.80/x
  3. Step 3: Cross multiply
    141,650.40x = 212,038.20 × 82,309.80
  4. Step 4: Simplify right side
    141,650.40x = 17,452,821,834.36
  5. Step 5: Solve for x
    x = 17,452,821,834.36/141,650.40
  6. Step 6: Final answer
    x = 123,210.54

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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.