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Finding the Fourth Proportional to 162,046.40, 242,551.20 and 149,604.80

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Solution

The fourth proportional to 162,046.40, 242,551.20 and 149,604.80 is: 223,928.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,046.40 : 242,551.20 = 149,604.80 : x
  2. Step 2: Convert to fraction form
    162,046.40/242,551.20 = 149,604.80/x
  3. Step 3: Cross multiply
    162,046.40x = 242,551.20 × 149,604.80
  4. Step 4: Simplify right side
    162,046.40x = 36,286,823,765.76
  5. Step 5: Solve for x
    x = 36,286,823,765.76/162,046.40
  6. Step 6: Final answer
    x = 223,928.60

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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.