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Finding the Fourth Proportional to 177,889.72, 266,873.48 and 53,221

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Solution

The fourth proportional to 177,889.72, 266,873.48 and 53,221 is: 79,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,889.72 : 266,873.48 = 53,221 : x
  2. Step 2: Convert to fraction form
    177,889.72/266,873.48 = 53,221/x
  3. Step 3: Cross multiply
    177,889.72x = 266,873.48 × 53,221
  4. Step 4: Simplify right side
    177,889.72x = 14,203,273,479.08
  5. Step 5: Solve for x
    x = 14,203,273,479.08/177,889.72
  6. Step 6: Final answer
    x = 79,843.14

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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.