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Finding the Fourth Proportional to 172,854, 259,324.74 and 48,195

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Solution

The fourth proportional to 172,854, 259,324.74 and 48,195 is: 72,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,854 : 259,324.74 = 48,195 : x
  2. Step 2: Convert to fraction form
    172,854/259,324.74 = 48,195/x
  3. Step 3: Cross multiply
    172,854x = 259,324.74 × 48,195
  4. Step 4: Simplify right side
    172,854x = 12,498,155,844.30
  5. Step 5: Solve for x
    x = 12,498,155,844.30/172,854
  6. Step 6: Final answer
    x = 72,304.70

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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.