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Finding the Fourth Proportional to 172,806.24, 259,253.04 and 48,147.24

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Solution

The fourth proportional to 172,806.24, 259,253.04 and 48,147.24 is: 72,233.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,806.24 : 259,253.04 = 48,147.24 : x
  2. Step 2: Convert to fraction form
    172,806.24/259,253.04 = 48,147.24/x
  3. Step 3: Cross multiply
    172,806.24x = 259,253.04 × 48,147.24
  4. Step 4: Simplify right side
    172,806.24x = 12,482,318,337.61
  5. Step 5: Solve for x
    x = 12,482,318,337.61/172,806.24
  6. Step 6: Final answer
    x = 72,233.03

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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.