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Finding the Fourth Proportional to 174,461.80, 261,692.70 and 161,631.40

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Solution

The fourth proportional to 174,461.80, 261,692.70 and 161,631.40 is: 242,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,461.80 : 261,692.70 = 161,631.40 : x
  2. Step 2: Convert to fraction form
    174,461.80/261,692.70 = 161,631.40/x
  3. Step 3: Cross multiply
    174,461.80x = 261,692.70 × 161,631.40
  4. Step 4: Simplify right side
    174,461.80x = 42,297,757,470.78
  5. Step 5: Solve for x
    x = 42,297,757,470.78/174,461.80
  6. Step 6: Final answer
    x = 242,447.10

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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.