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Finding the Fourth Proportional to 178,018.74, 266,843.59 and 111,305.68

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Solution

The fourth proportional to 178,018.74, 266,843.59 and 111,305.68 is: 166,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,018.74 : 266,843.59 = 111,305.68 : x
  2. Step 2: Convert to fraction form
    178,018.74/266,843.59 = 111,305.68/x
  3. Step 3: Cross multiply
    178,018.74x = 266,843.59 × 111,305.68
  4. Step 4: Simplify right side
    178,018.74x = 29,701,205,347.84
  5. Step 5: Solve for x
    x = 29,701,205,347.84/178,018.74
  6. Step 6: Final answer
    x = 166,843.14

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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.