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Finding the Fourth Proportional to 173,073.84, 259,642.80 and 54,774.96

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Solution

The fourth proportional to 173,073.84, 259,642.80 and 54,774.96 is: 82,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,073.84 : 259,642.80 = 54,774.96 : x
  2. Step 2: Convert to fraction form
    173,073.84/259,642.80 = 54,774.96/x
  3. Step 3: Cross multiply
    173,073.84x = 259,642.80 × 54,774.96
  4. Step 4: Simplify right side
    173,073.84x = 14,221,923,984.29
  5. Step 5: Solve for x
    x = 14,221,923,984.29/173,073.84
  6. Step 6: Final answer
    x = 82,172.58

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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.