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Finding the Fourth Proportional to 205,043.80, 307,220.10 and 99,635.80

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Solution

The fourth proportional to 205,043.80, 307,220.10 and 99,635.80 is: 149,285.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,043.80 : 307,220.10 = 99,635.80 : x
  2. Step 2: Convert to fraction form
    205,043.80/307,220.10 = 99,635.80/x
  3. Step 3: Cross multiply
    205,043.80x = 307,220.10 × 99,635.80
  4. Step 4: Simplify right side
    205,043.80x = 30,610,120,439.58
  5. Step 5: Solve for x
    x = 30,610,120,439.58/205,043.80
  6. Step 6: Final answer
    x = 149,285.76

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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.