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Finding the Fourth Proportional to 161,884.20, 242,826.30 and 146,137.80

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Solution

The fourth proportional to 161,884.20, 242,826.30 and 146,137.80 is: 219,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,884.20 : 242,826.30 = 146,137.80 : x
  2. Step 2: Convert to fraction form
    161,884.20/242,826.30 = 146,137.80/x
  3. Step 3: Cross multiply
    161,884.20x = 242,826.30 × 146,137.80
  4. Step 4: Simplify right side
    161,884.20x = 35,486,101,264.14
  5. Step 5: Solve for x
    x = 35,486,101,264.14/161,884.20
  6. Step 6: Final answer
    x = 219,206.70

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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.