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Finding the Fourth Proportional to 172,946.60, 259,614.30 and 133,677.80

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Solution

The fourth proportional to 172,946.60, 259,614.30 and 133,677.80 is: 200,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,946.60 : 259,614.30 = 133,677.80 : x
  2. Step 2: Convert to fraction form
    172,946.60/259,614.30 = 133,677.80/x
  3. Step 3: Cross multiply
    172,946.60x = 259,614.30 × 133,677.80
  4. Step 4: Simplify right side
    172,946.60x = 34,704,668,472.54
  5. Step 5: Solve for x
    x = 34,704,668,472.54/172,946.60
  6. Step 6: Final answer
    x = 200,666.96

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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.