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Finding the Fourth Proportional to 161,954.20, 242,834.10 and 83,222.20

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Solution

The fourth proportional to 161,954.20, 242,834.10 and 83,222.20 is: 124,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,954.20 : 242,834.10 = 83,222.20 : x
  2. Step 2: Convert to fraction form
    161,954.20/242,834.10 = 83,222.20/x
  3. Step 3: Cross multiply
    161,954.20x = 242,834.10 × 83,222.20
  4. Step 4: Simplify right side
    161,954.20x = 20,209,188,037.02
  5. Step 5: Solve for x
    x = 20,209,188,037.02/161,954.20
  6. Step 6: Final answer
    x = 124,783.35

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1.5x scale

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.