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Finding the Fourth Proportional to 82,133.54, 123,199.23 and 19,803.54

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Solution

The fourth proportional to 82,133.54, 123,199.23 and 19,803.54 is: 29,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,133.54 : 123,199.23 = 19,803.54 : x
  2. Step 2: Convert to fraction form
    82,133.54/123,199.23 = 19,803.54/x
  3. Step 3: Cross multiply
    82,133.54x = 123,199.23 × 19,803.54
  4. Step 4: Simplify right side
    82,133.54x = 2,439,780,879.27
  5. Step 5: Solve for x
    x = 2,439,780,879.27/82,133.54
  6. Step 6: Final answer
    x = 29,705.05

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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.