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Finding the Fourth Proportional to 282,170.68, 389,406.77 and 154,850.83

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Solution

The fourth proportional to 282,170.68, 389,406.77 and 154,850.83 is: 213,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,170.68 : 389,406.77 = 154,850.83 : x
  2. Step 2: Convert to fraction form
    282,170.68/389,406.77 = 154,850.83/x
  3. Step 3: Cross multiply
    282,170.68x = 389,406.77 × 154,850.83
  4. Step 4: Simplify right side
    282,170.68x = 60,299,961,542.12
  5. Step 5: Solve for x
    x = 60,299,961,542.12/282,170.68
  6. Step 6: Final answer
    x = 213,700.31

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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.