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Finding the Fourth Proportional to 189,474.30, 284,060.50 and 109,421.40

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Solution

The fourth proportional to 189,474.30, 284,060.50 and 109,421.40 is: 164,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,474.30 : 284,060.50 = 109,421.40 : x
  2. Step 2: Convert to fraction form
    189,474.30/284,060.50 = 109,421.40/x
  3. Step 3: Cross multiply
    189,474.30x = 284,060.50 × 109,421.40
  4. Step 4: Simplify right side
    189,474.30x = 31,082,297,594.70
  5. Step 5: Solve for x
    x = 31,082,297,594.70/189,474.30
  6. Step 6: Final answer
    x = 164,044.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.