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Finding the Fourth Proportional to 172,846.84, 259,270.28 and 54,530.16

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Solution

The fourth proportional to 172,846.84, 259,270.28 and 54,530.16 is: 81,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,846.84 : 259,270.28 = 54,530.16 : x
  2. Step 2: Convert to fraction form
    172,846.84/259,270.28 = 54,530.16/x
  3. Step 3: Cross multiply
    172,846.84x = 259,270.28 × 54,530.16
  4. Step 4: Simplify right side
    172,846.84x = 14,138,049,851.64
  5. Step 5: Solve for x
    x = 14,138,049,851.64/172,846.84
  6. Step 6: Final answer
    x = 81,795.25

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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.