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Finding the Fourth Proportional to 189,539.64, 284,361.84 and 82,904.22

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Solution

The fourth proportional to 189,539.64, 284,361.84 and 82,904.22 is: 124,379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,539.64 : 284,361.84 = 82,904.22 : x
  2. Step 2: Convert to fraction form
    189,539.64/284,361.84 = 82,904.22/x
  3. Step 3: Cross multiply
    189,539.64x = 284,361.84 × 82,904.22
  4. Step 4: Simplify right side
    189,539.64x = 23,574,796,542.96
  5. Step 5: Solve for x
    x = 23,574,796,542.96/189,539.64
  6. Step 6: Final answer
    x = 124,379.24

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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.