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Finding the Fourth Proportional to 548,049.12, 822,074.08 and 148,689.86

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Solution

The fourth proportional to 548,049.12, 822,074.08 and 148,689.86 is: 223,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,049.12 : 822,074.08 = 148,689.86 : x
  2. Step 2: Convert to fraction form
    548,049.12/822,074.08 = 148,689.86/x
  3. Step 3: Cross multiply
    548,049.12x = 822,074.08 × 148,689.86
  4. Step 4: Simplify right side
    548,049.12x = 122,234,079,864.83
  5. Step 5: Solve for x
    x = 122,234,079,864.83/548,049.12
  6. Step 6: Final answer
    x = 223,034.90

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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.