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Finding the Fourth Proportional to 162,418.80, 243,628.20 and 149,977.20

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Solution

The fourth proportional to 162,418.80, 243,628.20 and 149,977.20 is: 224,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,418.80 : 243,628.20 = 149,977.20 : x
  2. Step 2: Convert to fraction form
    162,418.80/243,628.20 = 149,977.20/x
  3. Step 3: Cross multiply
    162,418.80x = 243,628.20 × 149,977.20
  4. Step 4: Simplify right side
    162,418.80x = 36,538,675,277.04
  5. Step 5: Solve for x
    x = 36,538,675,277.04/162,418.80
  6. Step 6: Final answer
    x = 224,965.80

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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.