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Finding the Fourth Proportional to 274,137.40, 411,206.10 and 148,166.20

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Solution

The fourth proportional to 274,137.40, 411,206.10 and 148,166.20 is: 222,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,137.40 : 411,206.10 = 148,166.20 : x
  2. Step 2: Convert to fraction form
    274,137.40/411,206.10 = 148,166.20/x
  3. Step 3: Cross multiply
    274,137.40x = 411,206.10 × 148,166.20
  4. Step 4: Simplify right side
    274,137.40x = 60,926,845,253.82
  5. Step 5: Solve for x
    x = 60,926,845,253.82/274,137.40
  6. Step 6: Final answer
    x = 222,249.30

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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.