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Finding the Fourth Proportional to 149,607.84, 206,459.92 and 82,542.24

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Solution

The fourth proportional to 149,607.84, 206,459.92 and 82,542.24 is: 113,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,607.84 : 206,459.92 = 82,542.24 : x
  2. Step 2: Convert to fraction form
    149,607.84/206,459.92 = 82,542.24/x
  3. Step 3: Cross multiply
    149,607.84x = 206,459.92 × 82,542.24
  4. Step 4: Simplify right side
    149,607.84x = 17,041,664,267.02
  5. Step 5: Solve for x
    x = 17,041,664,267.02/149,607.84
  6. Step 6: Final answer
    x = 113,908.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.