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Finding the Fourth Proportional to 189,398.04, 284,085.96 and 71,059.50

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Solution

The fourth proportional to 189,398.04, 284,085.96 and 71,059.50 is: 106,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,398.04 : 284,085.96 = 71,059.50 : x
  2. Step 2: Convert to fraction form
    189,398.04/284,085.96 = 71,059.50/x
  3. Step 3: Cross multiply
    189,398.04x = 284,085.96 × 71,059.50
  4. Step 4: Simplify right side
    189,398.04x = 20,187,006,274.62
  5. Step 5: Solve for x
    x = 20,187,006,274.62/189,398.04
  6. Step 6: Final answer
    x = 106,585.09

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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.