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Finding the Fourth Proportional to 83,222.20, 124,833.30 and 48,230.20

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Solution

The fourth proportional to 83,222.20, 124,833.30 and 48,230.20 is: 72,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,222.20 : 124,833.30 = 48,230.20 : x
  2. Step 2: Convert to fraction form
    83,222.20/124,833.30 = 48,230.20/x
  3. Step 3: Cross multiply
    83,222.20x = 124,833.30 × 48,230.20
  4. Step 4: Simplify right side
    83,222.20x = 6,020,735,025.66
  5. Step 5: Solve for x
    x = 6,020,735,025.66/83,222.20
  6. Step 6: Final answer
    x = 72,345.30

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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.