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Finding the Fourth Proportional to 174,605.34, 261,914.49 and 56,278.38

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Solution

The fourth proportional to 174,605.34, 261,914.49 and 56,278.38 is: 84,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,605.34 : 261,914.49 = 56,278.38 : x
  2. Step 2: Convert to fraction form
    174,605.34/261,914.49 = 56,278.38/x
  3. Step 3: Cross multiply
    174,605.34x = 261,914.49 × 56,278.38
  4. Step 4: Simplify right side
    174,605.34x = 14,740,123,195.73
  5. Step 5: Solve for x
    x = 14,740,123,195.73/174,605.34
  6. Step 6: Final answer
    x = 84,419.66

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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.