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Finding the Fourth Proportional to 177,858, 266,709 and 53,169.84

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Solution

The fourth proportional to 177,858, 266,709 and 53,169.84 is: 79,731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,858 : 266,709 = 53,169.84 : x
  2. Step 2: Convert to fraction form
    177,858/266,709 = 53,169.84/x
  3. Step 3: Cross multiply
    177,858x = 266,709 × 53,169.84
  4. Step 4: Simplify right side
    177,858x = 14,180,874,856.56
  5. Step 5: Solve for x
    x = 14,180,874,856.56/177,858
  6. Step 6: Final answer
    x = 79,731.44

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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.