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Finding the Fourth Proportional to 177,434.20, 266,151.30 and 164,020.60

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Solution

The fourth proportional to 177,434.20, 266,151.30 and 164,020.60 is: 246,030.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,434.20 : 266,151.30 = 164,020.60 : x
  2. Step 2: Convert to fraction form
    177,434.20/266,151.30 = 164,020.60/x
  3. Step 3: Cross multiply
    177,434.20x = 266,151.30 × 164,020.60
  4. Step 4: Simplify right side
    177,434.20x = 43,654,295,916.78
  5. Step 5: Solve for x
    x = 43,654,295,916.78/177,434.20
  6. Step 6: Final answer
    x = 246,030.90

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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.