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Finding the Fourth Proportional to 172,855, 259,326.24 and 48,196

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Solution

The fourth proportional to 172,855, 259,326.24 and 48,196 is: 72,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,855 : 259,326.24 = 48,196 : x
  2. Step 2: Convert to fraction form
    172,855/259,326.24 = 48,196/x
  3. Step 3: Cross multiply
    172,855x = 259,326.24 × 48,196
  4. Step 4: Simplify right side
    172,855x = 12,498,487,463.04
  5. Step 5: Solve for x
    x = 12,498,487,463.04/172,855
  6. Step 6: Final answer
    x = 72,306.20

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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.