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Finding the Fourth Proportional to 172,858, 259,330.74 and 48,199

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Solution

The fourth proportional to 172,858, 259,330.74 and 48,199 is: 72,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,858 : 259,330.74 = 48,199 : x
  2. Step 2: Convert to fraction form
    172,858/259,330.74 = 48,199/x
  3. Step 3: Cross multiply
    172,858x = 259,330.74 × 48,199
  4. Step 4: Simplify right side
    172,858x = 12,499,482,337.26
  5. Step 5: Solve for x
    x = 12,499,482,337.26/172,858
  6. Step 6: Final answer
    x = 72,310.70

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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.