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Finding the Fourth Proportional to 172,860, 259,333.74 and 48,201

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Solution

The fourth proportional to 172,860, 259,333.74 and 48,201 is: 72,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,860 : 259,333.74 = 48,201 : x
  2. Step 2: Convert to fraction form
    172,860/259,333.74 = 48,201/x
  3. Step 3: Cross multiply
    172,860x = 259,333.74 × 48,201
  4. Step 4: Simplify right side
    172,860x = 12,500,145,601.74
  5. Step 5: Solve for x
    x = 12,500,145,601.74/172,860
  6. Step 6: Final answer
    x = 72,313.70

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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.