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Finding the Fourth Proportional to 172,936.35, 259,404.53 and 106,159.95

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Solution

The fourth proportional to 172,936.35, 259,404.53 and 106,159.95 is: 159,239.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,936.35 : 259,404.53 = 106,159.95 : x
  2. Step 2: Convert to fraction form
    172,936.35/259,404.53 = 106,159.95/x
  3. Step 3: Cross multiply
    172,936.35x = 259,404.53 × 106,159.95
  4. Step 4: Simplify right side
    172,936.35x = 27,538,371,403.77
  5. Step 5: Solve for x
    x = 27,538,371,403.77/172,936.35
  6. Step 6: Final answer
    x = 159,239.93

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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.